find the greatest no that can divide 281, 695 and 1615 leaving the same remainder 5 in each case
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greatest no that can divide 281, 695 and 1615 leaving the same remainder 5 in each case-------
step 1:substract 5 from each number
then the new no.s are
276,690,1610
step 2:find the HCF of these 3 no.s to get your answer
HCF(276,690,1610)
276 = 3 × 2 × 2 × 23
690 = 5 × 3 × 2 × 23
1610 = 5 × 2 × 23 × 7
common-----2 × 23
then HCF(276,690,1610)=46
therefore 46 is the greatest no that can divide 281, 695 and 1615 leaving the same remainder 5 in each case.
hope it helps buddy
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