1.

Three different containers contain 496 litres,403litres and 713 litres of milk. Find the maximum capacity of a container that can measure the milk of any other tanker on exact of times.Two bills of rs.6075 and rs.8505 respectively are to be paid by cheques of the same amount. What will be the largest possible amount of each cheque?Find the largest number that will divide 623,729 and 841 leaving remainder 3,9 and 1 respectively PLEASE answer these questions it's too urgent for me

Answer»

1) Three different containers CONTAIN 496 litres, 403 litres and 703 litres of milk

496 = 2×2×2×2×31
403 = 13×31
713 = 23×31
so, HCF of 496, 403, 713 is 31

maximum capacity of a container that can measure the milk of any other tanker on exact of times = 31 litres

2) TWO bills of 6075 and 8505 respectively are to be paid buy checks of the same amount

6075 = 5×5×243
8505 = 5×7×243

so, HCF of 6075 and 8505 is 5×243 = 1215

largest possible amount of each check is 1215

3) FIND the largest number that will divide 623, 729 and 841 leaving remainder of 3, 9, and 1 respectively

largest number that will divide 623, 729 and 841 leaving remainder of 3, 9 and 1 respectively is 10

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