c program to find highest common factor of two numbers

Initially, a number is divided by another number and the remainder is assigned to a variable. The basic working principle of finding HCF and LCM is division of the numbers in a loop. It gives the idea of basic loop techniques, some mathematical operations along with the fundamental input output functions of C library. Writing a program to find the HCF and LCM of two whole numbers is a popular tutorial/question in C programing language. Both HCF and LCM carry a great significance in mathematics, physics and engineering. On the other hand, Least Common Multiple (LCM) is the smallest common multiple of the whole numbers. Use this Google Search to find what you need.The highest common factor (HCF) of two whole numbers is defined as the largest whole number which is factor to both the numbers. to HOME PAGEĭidn't find what you were looking for? Or want to know more information and L.C.M.įrom Relationship between H.C.F. To Find Lowest Common Multiple by using Division MethodĮxamples to find Least Common Multiple of two numbers by using Division MethodĮxamples to find Least Common Multiple of three numbers by using Division Method To find Least Common Multiple by using Prime Factorization Method.Įxamples to find Least Common Multiple by using Prime Factorization Method. 2.Find the greatest number which is less by 2 to divide 24, 28 and 64 The wires are to be cut into pieces of equal length. Let us consider some of the word problems on H.C.F. Find the least number which leaves 5 as remainder when divided by 36 and 54.ĥ. If the product of the numbers is 1440, find the H.C.F.Ĥ. Questions and Answers on Relationship between H.C.F. of two numbers is equal to the product of the two given numbers. If one number is a factor of the second number then the smaller number is the H.C.F. of two or more numbers is the highest number that can divide the numbers without leaving any remainder. of two or more numbers cannot be less than any one of the given numbers.

If one number is the multiple of the other, then the multiple is their L.C.M. If two numbers are co-prime, their L.C.M. The least common multiple (L.C.M.) of two or more numbers is the smallest number which is divisible by all the numbers. Two numbers which have only 1 as the common factor are called co-prime. The least number which leaves 3 as remainder is 168 + 3 = 171. of 24 and 42 leaves no remainder when divided by the number 24 and 42. So, from the above explanations we conclude that the product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers of 15 and 18 = product of 15 and 18.Īgain, let us consider the two numbers 16 and 24 Then we need to find the lowest common multiple (L.C.M.) of 15 and 18 which is 90.Īlso the product of numbers = 15 × 18 = 270 ofįirst we need to find the highest common factor (H.C.F.) of 15 and 18 which is 3.

We will learn the relationship between H.C.F.

C program to find highest common factor of two numbers