1.

Find the largest number which when divided by 825 and 975 leaves remainder 5 in each case

Answer»

The numbers that are exactly divisible are 825 - 5 = 800 and 975 - 5 = 970
Prime factorization of 800 = 2×2×2×2×2×5×5
Prime factorization of 970 =2×5×97
HCF(800, 970) = 2×5=10
Therefore the largest number which divides 825 and 975 LEAVING REMAINDER 5 in each CASE is 10



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