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# The greatest number, which divides 171, and 251 leaving remainders 3 and 6 respectively is

 A) 3 B) 5 C) 7 D) 15

 C) 7

HCF of (171-3) and (251-6) to find HCF of 168, 245

$$\Large 168 = 2 \times 2 \times 2 \times 3 \times 7$$

$$\Large 245 = 5 \times 7 \times 7$$

HCF of 168 and 245 is 7.

The greatest number which divides 171 and 251 leaving remainders 3 and 6 respectively is 7.

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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