Find the greatest number that will divide 195, 230, and 279 leaving remainders 3, 6 and 7 respectively.
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(195-3),(1763-3),(579-3) will be exactly divisible by the required number .
HCF
according to Euclid division lemma
1760=576X3+32
576=32X18+0
32 is HCF of 1760 and 576
192=32X6+0
32 is HCF 192and32
32 is the required number that divide
195 ,1763,579 leaving remainder 3 in each case.
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