Multiple Choice Questions

Find the greatest number that will divide 728 and 900 leaving the remainders 8 and 4 respe...........

Quantitative Aptitude (HARCO) LCM, HCF

Find the greatest number that will divide 728 and 900 leaving the remainders 8 and 4 respectively?

HCF calculation is used.

Calculation:

The required numbers is HCF of (728-8) and (900-4)

(728-8)=720

(900-4)=896

Prime factorization of 720 and 896

720= 2×2x2×2×3×3×5

896 = 2×2×2×2×2×2×2×7

So. HCF of 728 and 900 =2x2x2x2=16

The greatest number which when divided by 728 and 900 leaves the remainder 8 and 4 respectively is 16.

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