The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?
Options:
A .  15
B .  30
C .  40
D .  60
Answer: Option A Required Number can be given by: HCF of (3026 - 11) and (5053 - 13) HCF of 3015 and 5040 = 15 To find HCF, we break the given numbers in their prime Factors 3015 = 3 × 3 × 5 × 67 5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 We take common multiples in these two given numbers to get required HCF And Common multiples are: 3 × 5 So, Required HCF = 15
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