Question

The maximum number of students amongst whom 1495 pens and 690 pencils can be distributed in such
a way that each student gets the same number of pens and the same number of pencils, is:​

Answer 1

Answer:

Refer the following attachement

Answer 2

Answer:

The correct answer will be -

The maximum number of students will be 115.

Step-by-step explanation:

Given in the question

Total number of pens = 1495

Total number of pencils = 690

We have to find the maximum number of students so that each student gets the same amount of pens and pencils.

This will be the HCF (Highest Common Factor) of these two numbers -

Prime factorizing both numbers -

$1495 = 5\times 13\times 23$

$690 = 2\times 3\times 5\times 23$

The HCF will be = $5\times 23$ = 115

So the maximum number of students will be 115.

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