Question

hcf of 61, 76.using prime factorisation ​

Answer 1

Answer:

61,76

Step-by-step explanation:

We found the factors and prime factorization of 61 and 76. The biggest common factor number is the GCF number. So the greatest common factor 61 and 76 is 1.

Answer 2

Concept:

HCF stands for Highest common factor and is also known as Greatest Common Factor is defined as the greatest number that divides each of the given numbers completely.

Given:

We have,

Two numbers 61 and 76.

Find:

We are asked to find the HCF of 61 and 76 using prime factorization​.

Solution:

So,

We have,

Two numbers 61 and 76,

Now,

To find the HCF of the given numbers using prime factorization,

First,

We would find factors of both numbers,

i.e.

61 = 1 × 61

And,

76 = 1 × 2 × 2 × 19

So,

As we can see that the only common factor in both the given numbers is 1,

So,

The HCF of 61 and 76 is 1.

Hence, the HCF of 61 and 76 is 1 which is found using the prime factorization method.

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