There are 39 milkcakes and 26 pedas in 2 individual baskets. What is the largest group into which both the sweets can be split so that they can be equally arranged in some other individual baskets?
A
13
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B
5
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C
9
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D
17
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Solution
The correct option is A 13 The largest group into which both sweets can be split will be the HCF of the number of sweets of both type, i.e. 39 and 26.
Factors of 39: 1, 3, 13, 39
Factors of 26: 1, 2, 13, 26
Common factors: 1, 13
HCF of 39 and 26 = 13
Thus, the largest group size will be 13 sweets in each basket.