Find the greatest number that can divide 166 and 237 leaving remainder 5 and 7 respectively
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Find the greatest number that can divide 166 and 237 leaving remainder 5 and 7 respectively.
To find the number, we have to find the HCF of the numbers which are exactly divisible.
166
166 - 5 = 161
237
237 - 7 = 230
HCF( 166, 230)
166 = 7 × 23
230 = 2 × 5 × 23
HCF = 23
Therefore, the greatest number that can divide 166 and 237 is 23.
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