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

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115

Answer 2

Given:

Total number of pens = 1495

Total number of pencils = 690

To find:

The maximum number of students in which each student gets the same number of pens and the same number of pencils.

Solution:

The maximum number of students amongst whom 1495 pens and 690 pencils can be distributed.

We can find the maximum number of students in which each student gets the same number of pens and the same number of pencils by finding the HCF of 1495 and 690

By using prime factorization method,

1495  = 5 × 13 × 23

690 = 2 × 3 × 5 × 23

HCF of 1495 and 690 = 5 × 23

HCF of 1495 and 690 = 115

115 students gets same number of pens and pencils.

Final answer:

The maximum number of students in which each student gets the same number of pens and the same number of pencils is 115 students.