Question

The
rohom
Maximum number of students among
1001 pens and 910 pencile can be disabled
in such a way that each student gets same
number of pens and same number of
pereils, is :​

Answer 1

Question:

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

Answer:

Explanation:

The maximum number of students = HCF(1001,910)

Finding HCF(1001,910) using prime factorization method:

1001 = 7 x 11 x 13

910 = 2 x 5 x 7 x 13

HCF = 7 x 13

        = 91

Finding HCF(1001,910) using Euclid's Division Lemma:

By EDL,

a = bq + r           0 ≤ r < b

1001 = (910 × 1) + 91

910 = (91 × 10) + 0

Therefore 91 students are required