Question

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 ​

Answer 1

• $\huge\pink{\mid{\fbox{\tt(answer)}\mid}}$Given:
• 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.