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

Posted by Ganga Enterprises 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

Total pens=1001
Total pencils=910
we need to find maximum no.of students among whom 1001 pens and 910 pencils can be distributed in such a way that each students get same no.of pens and pencils.
Then we need to find HCF of 1001 and 910
Prime factorization of,
1001=7×11×13
910=2×5×7×13
HCF=product of commom prime factor of least power
HCF=7×13=91
Here HCF of 1001 and 910 is 91.

Hence among 91 students 1001 pens and 910 pencils can be distributed such that each student get same no.of pens and pencils.

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