Question

the greatest number which divides 36 48 96 144 exactly is​

Answer 1

Answer:

ans is 2the right answer

Answer 2

Given:

The greatest number which divides 36 48 96 144 exactly is​?

To find:

The greatest number which divides 36 48 96 144 exactly ​

Solution:

Firstly, to find the greatest number which divides 36, 48, 96 and 144 exactly we have to find the H.C.F. i.e., the Highest Common Factor of 36, 48, 96 and 144.

Secondly, we will find the H.C.F. by using the prime factorisation method.

Factors of 36, 48, 96 and 144:

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

96 = 2 × 2 × 2 × 2 × 2 × 3

144 = 2 × 2 × 2 × 2 × 3 × 3

∴ H.C.F. (36, 48, 96 and 144) = 2 × 2 ×  3 = 12

Thus, the greatest number which divides 36, 48, 96 and 144 exactly is

→ 12.

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