150 cola cans 260 fruit cans need to be stacked in a shop. If each stack is to be of the same height and is to contain cans of the same type what would be the greatest number of cans a stack can have? Who answers first will be marked as the Brainiest
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Number of cola cans = 150
Number of fruit juice cans = 260
If each stack is to be of the same height and has to contain cans of the same type, then the greatest number of cans each stack can have = GCD (150,260)
Prime factorization of 150 and 260:
150= 2 x 3 x 5 x 5
260 = 2 x 2 x 5 x 13
GCD (150,260) = 2 x 5 =10
Thus , the greatest number of cans each stack can have = 10
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