The maximum number of students among them 1001 pens

Asked by admin @ 23/08/2021 in Math viewed by 289 People

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...

solve this answer with explaination

Answered by admin @ 23/08/2021

Total number of pens = 1001.

Total number pencils = 910.

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.

Hence, 91 students receive same number of pens and pencils.

Hope it helps!

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