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Applications of HCF

The highest s...

Question

The highest step size one can take to reach both steps 24 and 16 is ____.

A

6

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B

8

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C

4

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D

2

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Solution

The correct option is B 8
To find the highest step size to reach the two numbers, we have to determine their highest common factor (HCF).

Factors of 24 are:

Factors of 16 are:

Let us find out the common factors of both the numbers using a Venn diagram.

$∴$ GCF 24, 16 = 8

$∴$ The highest step size one can take to reach both the steps 24 and 16 is 8.

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