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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. - Mathematics

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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.

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Solution

Total number of pens = 1001
Total number pencils = 910
∴ Maximum number of students who get the same number of pens and pencils = HCF (1001, 910)
Prime factorization:
∴ HCF = 91
1001 = 11 × 91
910 = 10 × 91
Hence, 91 students receive same number of pens and pencils.

Concept: Euclid’s Division Lemma
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