This question is taken from real numbers in which we have given 1001 pens and 910 pencils and we have been asked to find the maximum number of students among whom the above pens and pencils can be distributed in such a way that each student gets equal number of pens and pencils.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1B, question no 22

## Total number of pens =1001

Total number of pencils =910

maximum number of students who get the same number of pens and same number of pencils =HCF(1001 and 910)

using Prime factorization:

910=2×5×7×13

1001=7×11×13

Now HCF(1001 and 910)=91

Answer : 91 students get same number of pens and pencil.