Question

what is the hcf of 120 and 210

Answer 1

Answer: 30

Step-by-step explanation:

120=2*2*2*3*5

210=2*3*5*7

Common factors = 2*3*5=30

Answer 2

Given:

120 and 210

To Find:

Find the HCF

Solution:

HCF or the highest common factor is defined as the highest factor which can divide the numbers. It can be obtained for two or more numbers. To find the HCF of numbers there are several methods like long division, prime factorization and so,

We will use the prime factorization method to find the HCF in which we prime factorize each number and then take the highest common prime factor and multiply together to get the HCF,

Factorization,

120=2*2*2*3*5

210=2*3*5*7

So the HCF will be multiplication of 2, 3 and 5

HCF=2*3*5

      =30

Hence, the HCF of 120 and 210 is 30.