Question

Find the greatest number that will divide 195, 230, and 279 leaving remainders 3, 6 and 7 respectively.

Answer 1

Answer:

(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.