Find thegreatest number to divide 129,161,224 leaving reminder 5,6,7

Answers (1)

First subtract the remainder remainder 5,6 and 7 from the numbers 129, 161, 224 respectively 

129 - 5 = 124

161 - 6 = 155

224 - 7 = 217

So the numbers are 124,155 and 217

HCF(124,155,217)

124 =  2 x 2 x 31

155 =  5 x 31

217 = 7 x 31

HCF(124,155,217) = 31

Hence the 31 is the greatest number that will divide 129, 161 & 224 leaving the remainder 5,6 and 7.

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