Question

hcf of 168 and 126 is

Answer 1

Answer:

The HCF of 126 and 168 is 42.

Steps to find HCF

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 168

168 = 2 × 2 × 2 × 3 × 7

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 7

GCF = 42

Answer 2

Given:

Numbers 168 and 126

To Find:

The HCF

Solution:

To find the HCF different methods can be used like the Long division method or Factorization method, here we will use the factorization method in which we first prime factorize the numbers and then the common prime numbers in them and multiply all the common prime numbers together to get HCF of the numbers, moving ahead

Prime factorizing the numbers

168=2*2*2*3*7

126=2*3*3*7

Now here we can observe that the common prime numbers are 2, 3 and 7 and all of them have the highest power of 1 only

so the HCF will be the multiplication of these numbers

HCF=2*3*7

=42

Hence, the HCF of 168 and 126 is 42.