Question

find the largest positive integer that will divide 1638 and 1082 and leaving remainders 26 and 16 respectively?

Answer 1

hye

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aim : to Find the largest positive integer that will divide 1638 and 1082 and leaving remainders 26 and 16 respectively

=> forst let us detect 1638 and 1082

=>1638-26 = 1612

=> 1082 -16  = 1066

now let us find the hcf of 1612 and 1066

=> 1612 = 1,2,4,13,26,31,52,62,124,403,806,1612,

=>1066 = 1,2,13,26,41,82,533,1066

hcf is 26

so 26  largest positive integer that will divide 1638 and 1082 and leaving remainders 26 and 16 respectively

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hope it helsp u...............