Question

h.c.f of 2835,4375,4480​

Answer 1

Answer:

5 is the hcf of the numbers

Answer 2

The HCF of 2835,4375, and 4480​ is 35.

Given:

Three numbers: 2835,4375, and 4480​.

To Find:

The HCF of 2835,4375, and 4480​.

Solution:

The HCF (highest common factor) of three numbers is the greatest factor that divides each of the three numbers.

We have been given three numbers: 2835,4375, and 4480​.

To find the HCF of the given numbers, we need to first find their prime factorization,

2835 = 3 × 3 × 3 × 3 × 5 × 7 = $3^{4}$ x 5 x 7

4375 = 5 × 5 × 5 × 5 × 7 = $5^{4}$ x 7

4480 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 = $2^{7}$ x 5 x 7.

We observe that the common factors of 2835,4375, and 4480​ are 5 and 7.

Compute the product of the factors common to each of the given numbers. It is their HCF.

Hence, HCF (2835, 4375, 4480) = 5 x 7 = 35.

∴ The HCF of 2835,4375, and 4480​ is 35.

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