Discussion
Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively
Answer: B
Subtract each remainder, then take the H.C.F. of the results.
\[ 400 - 9 = 391, \quad 435 - 10 = 425, \quad 541 - 14 = 527 \]
\[ 391 = 17 \times 23, \quad 425 = 17 \times 25, \quad 527 = 17 \times 31 \]
\[ \text{H.C.F.} = 17 \]
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