Find the maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and the same number of pencils.

Question

Philoid · Accepted Answer

∵ each student gets the same number of pens and pencils.

Maximum number of students among which it can be distributed will be equal to HCF of number of pencils and number of pens.

So HCF of 1001 and 910 -

Prime factors of the numbers are -

1001 = 7 × 11 × 13

910 = 2 × 5 × 7 × 13

∴ HCF = 7 × 13 = 91.