Question

What is the greatest number that divides both 16 and 20 exactly?

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Numbers are 16 and 20}$

$\underline{\textbf{To find:}}$

$\textsf{The greatest number that divides both 16 and 20 exactly}$

$\underline{\textbf{Solution:}}$

$\textsf{It is enough to find H.C.F of 16 and 20}$

$\mathsf{16=\boxed{2}{\times}\boxed{2}{\times}2{\times}2}$

$\mathsf{20=\boxed{2}{\times}\boxed{2}{\times}5}$

$\textsf{Clearly 4 is common factor of both the numbers}$

$\implies\boxed{\mathsf{H.C.F=4}}$

$\therefore\underline{\textsf{The greatest number that divides both 16 and 20 exactly is 4}}$

$\underline{\textbf{Find more:}}$

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Answer 2

SOLUTION

TO DETERMINE

The greatest number that divides both 16 and 20 exactly

EVALUATION

Here the given numbers are 16 and 20

We have to find the greatest number that divides both 16 and 20 exactly

The required number is the HCF of the numbers

Now

16 = 2 × 2 × 2 × 2

20 = 2 × 2 × 5

So the required greatest number that divides both 16 and 20 exactly

= The HCF of the numbers 16 and 20

= 2 × 2

= 4

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