17. Find the number of
students among whom
1001 pens and 910 pencils
can be equally
distributed? *
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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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