Question 55
What is the maximum number of students among whom 63 pens and 140 copies can be distributed in such a way that each student gets the same number of pens and same number of exercise books?
Solution
Maximum number of students among whom 63 pens and 140 copies can be distributed in such a way that each student gets the same number of pens and same number of exercise books = Highest Common Factor of 63 and 140
Prime factors of 63 are 7, 3, 3
Prime factors of 140 are 7, 2, 2, 5
Therefore, HCF of 63 and 140 is 7.
Therefore, Maximum number of students = 7.
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