Hcf and lcm questions and answers, formulas,tricks,test. The concept of gcd greatest common divisor or highest common factor consider two natural numbers n, and n2. Here, the highest common factor of 4, 6 and 8 is 2. Hcm and lcm pdf, lcm and hcf, lcm and hcf examples, lcm and hcf formulas, lcm and hcf of two papers, lcm and hcf questions, lcm and hcf shortcuts. As the rules of mathematics dictate, the greatest common divisor or the gcd of two or more integers, when at least one of them is not zero, happens to be the largest positive that divides the numbers without a remainder.
Top 25 rrb ntpc maths questions based on asked questions in previous exam papers very important for the railway ntpc exam. When a unique number divides exactly two or more given numbers then that number is. Formulas property 1 lcm x hcf product of two numbers h. Express each one of the given numbers as the product of prime factors. Welcome to the lets study together online free pdf section. Hcf obtained in step 2 will be the hcf of the three numbers. In this page, you will learn about hcf and lcm maths formula and tricks in this page, l have explained all the short tricks and explanation on the abovesaid topics.
Both hcf and lcm of given numbers can be found by using two methods. Lcm and hcf shortcut tricks page 2 lcm and hcf important questions page 3 lcm and hcf video lecture page 4. A common factor of two or more given numbers is a number which divides each given number completely. Candidates who are going to appear in any competitive exam can check lcm and hcf shortcut tricks and formulas from here.
F of two or more than two numbers is the greatest number that divides each of them exactly. So, lets start with the topic of hcf and lcm formula in which we will discuss about shortcuts of hcf and lcm with examples. A common factor of two or more numbers is a number that divides each of them exactly. Basic arithmetic plays a vital role in laying a strong foundation of mathematics, a subject that is dreaded by many. Finding factors and multiples is like playing hide and. The highest common factor hcf of the two numbers is 3. As you all know that lcm and hcf is important topic and asked in many of exams, so who are engaged in preparing for government jobs can download pdf lcm and hcf shortcut tricks in hindi from here. The least number which is exactly divisible by each one of the given numbers is called their l. Hcf and lcm questions are widely asked in all of all competitive exams. Real numbers 5 this algorithm works because hcf c, d hcf d, r where the symbolhcf c, d denotes the hcf of c and d, etc. Get detailed illustrated notes covering entire syllabus.
Use the lcm function when you want to calculate the least common multiple of integers. A number is said to be a factor of another number it divides the other number exactly. Hcf of two or more numbers is the greatest number which divide all of them without any remainder. Hcf and lcm is an important topic for competitive exams, entrance exams as. If the numbers n1 and n2 are exactly divisible by the same number x, then x is a common divisor of n1 and n2.
Hcf and lcm concepts formulas and problems for cat exam. A number may be made by multiplying two or more other numbers together. Hcf of two or more numbers is the greatest factor which divides each of them exactly. Lcm and hcf formulas, shortcuts and tricks with examples. The common multiples of 3 and 4 are 12,24 and so on. In this game, you have to find your hidden friends. For example if a number divides 51, 128, 298 and leaves 3, 8 and 10 as the remainders then the largest number to do so would be the hcf of 48, 120, 288 24. Lcm and hcf formula lcm and hcf formulas, properties and important ways to solve lcm and hcf questions are given below on this page below. In a similar way as explained for three numbers, we can find out hcf of more than three numbers also using division method. Lcm and hcf short tricks with examples bankexamstoday. Lcm the least number which is exactly divisible by each one of the given numbers is called their l.
Aptitude on hcf and lcm for bank jobs, government jobs, private jobs. Definition hcf highest common factor hcf of two or more numbers is the greatest number which divides each of them exactly. This topic is very important for 2019 exam preparation. Properties of hcf and lcm formulas and solved problems. Product of two numbers a and b ab their hcf their lcm. If a number p divides another number q exactly, we say that p is a factor of q i. This post contain hcf and lcm questions, lcm and hcf problems, highest common factor calculator, hcf and lcm worksheets, lcm and hcf short tricks, how to find hcf quickly, hcf lcm math, lcm and hcf pdf, hello dear followers, in this post we are going to share an important pdf on hcf and lcm questions, lcm and hcf short tricks, which is very. Due to some limitations in web options, math symbols, notations were unable to view properly. Dear readers, we provide you lcm and hcf questions pdf ssc chsl you all know that speed in calculation sets the complete base for quantitative aptitude section lcm and hcf questions pdf ssc chsl of various competitive exams. F is the highest common factor or also known as greatest common divisor, the greatest number. Download pdf for free relation between hcf and lcm of polynomials formula the relation between hcf and lcm of polynomials is product of two polynomials is equal to product of their hcf and lcm. The product of least powers of common prime factor gives hcf. Lcm and hcf shortcut tricks formulas, problems example. Division method division method is short cut method of lcm 1.
Hcf and lcm formula shortcut tricks with examples to. Lcm of two or more numbers is the smallest number which is divisible by all the given numbers. F least common multiple lcm of two or more numbers is the smallest number that is a multiple of all the numbers. With your concepts clear right from the beginning, you wont face any difficulty in understanding the various advanced concepts that are taught.
You must have played hide and seek a number of times. Excel has two useful functions for work with fractions. Short tricks in hindi, lcm hcf problems formulas, methods of solving lcm and hcf problems, old papers, important questions. The numbers that are multiplied together are called factors of the final number. Properties of hcf and lcm formulas and solved problems byjus. Hcf and lcm of polynomials and their relations formulas. If the hcf of each pair is x and the lcm of all the n numbers is y, then the product of n numbers is given by or product of n numbers hcf of each pair n1. Well, in the aptitude section, one of the well known and mostly asked areas are lcm and hcf. The numbers which exactly divide a given number are called the factors of that number. What is lcmsome formulas in hcf and lcmpractice and previous questions on hcf and lcm do you know factors and. Quantitative aptitude lcm hcf problems pdf download with. Take problems on lcm and hcf quiz online test right now through this post. The product of lcm and hcf of any two given natural numbers is equivalent to the product of the given numbers.
The hcf of two or more than two numbers is the greatest number that divides each of them exactly. Lcm hcf questions, formulas, tricks and pdf download. If the lcm and hcf of two numbers are 72 and 12 respectively. Solved 50 lcm and hcf questions and answers section with explanation for various online exam preparation, various interviews, logical reasoning category online test. Complete lcm and hcf by gagan pratap all tricks,shortcut, concepts,option methodo. Category questions section with detailed description, explanation will help you to master the topic.
And many of the aspirants who are prepping for different kinds of exams like the staff selection commission, upsc, sssb, police, banks, railways, rrb, ibps, and many other entrance tests or recruitment tests can use the help. Hcf and lcm formula hcf and lcm tricks, explanation for. Lcm and hcf tricks, problems and formulas bankexamstoday. Hcf and lcm shortcut formula aptitude edit hcf and lcm important formulas, shortcut methods and tricks. To find hcf and lcm with shortcut tricks is very necessary to know while you are preparing for any competitive or entrance exam because it safes your time and the chances of accuracy in short time arises. Hcf and lcm questions and answers, formulas,tricks,test download pdf unknown at 10. Lets proceed to the highest common factor hcf and the least common multiple lcm. Difficult questions on hcf and lcm and its explanation with examples. Applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3.
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