How To Find Lcm By Prime Factorization Method Haiper Solution: step 1: to find hcf of 20 and 12, write each number as a product of prime factors. 20 = 2 × 2 × 5 = 2 2 × 5. 12 = 2 × 2 × 3 = 2 2 × 3. step 2: multiply all the common prime factors with the lowest degree. here we have only 2 as a common prime factor with the lowest power of 2. hcf of 20 and 12 = 2 2 = 4. Step 2: now list the common factors of both the numbers. step 3: the product of all common prime factors is the hcf ( use the lower power of each common factor) let us understand with the help of examples. example 1: evaluate the hcf of 60 and 75. solution: write each number as a product of its prime factors.
Find The H C F Of The Following Numbers Using Prime Factorization Step i: find the prime factorization of each of the given numbers. step ii: the product of all common prime factors is the hcf of the given numbers. let us consider some of the examples to find highest common factor by using prime factorization method. 1. find highest common factor (hcf) of 14 and 8 by using prime factorization method. solution:. These common prime factors’ product is said to be the numbers’ highest common factor or greatest common divisor. hcf and lcm example: q.2) find the hcf of 36 and 48, using prime factorization method. solution: we first find out the prime factors individually. methods to find out the lcm of two or more given numbers: •lcm by prime. Let us solve an example when we need to find the hcf of three numbers. example: find the hcf of 126, 162 and 180. solution: by prime factorisation, we can write the given numbers as; 126 = 2x3x3x7. 162 = 2x3x3x3x3. 180 = 2x2x3x3x5. taking out the common factors of 126, 162 an d180, we get: hcf (126,162,180) = 2x3x3 = 18. Watch this video to learn the prime factorisation method for finding the highest common factor (hcf)to understand hcf and lcm better, enroll in our full cour.
Comments are closed.