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:

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: 91

The maximum number of students is the GCD of 1001 and 910. Factorize: 1001 = 7 × 11 × 13, 910 = 2 × 5 × 7 × 13. GCD = 7 × 13 = 91. Each student gets 1001 ÷ 91 = 11 pens and 910 ÷ 91 = 10 pencils. Studying this highlights number theory, providing lessons on distribution problems.