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Question
Find the greatest number which divides 120, 165 and 210 exactly leaving remainders 5, 4 and 3 respectively
Find the greatest number which divides 120, 165 and 210 exactly leaving remainders 5, 4 and 3 respectively
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Solution
The correct option is D None of these
The required number will be the H.C.F of (120 - 5), (165 - 4) and (210 - 3) i.e. H.C.F. of 115
161 and 207
∴ Required number = H.C.F. of 115, 161 and 207 = 23
The required number will be the H.C.F of (120 - 5), (165 - 4) and (210 - 3) i.e. H.C.F. of 115
161 and 207
∴ Required number = H.C.F. of 115, 161 and 207 = 23
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