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Find the greatest number which on dividing 3050 and 5200 leaves remainders 7 and 9 respectively.
- A149
- B111
- C153
- D179
Answer not set
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CCommunity
On dividing 3050 and 5200 leaves remainders 7 and 9 respectively,
⇒ Number exactly divides 3050 – 7 = 3043 and 5200 – 9 = 5191
So the number which divides 3043 and 5191 exactly,
Factors of 3043 = 1 × 17 × 179
Factors of 5191 = 1 × 29 × 179
∴ 179 is the greatest number.
⇒ Number exactly divides 3050 – 7 = 3043 and 5200 – 9 = 5191
So the number which divides 3043 and 5191 exactly,
Factors of 3043 = 1 × 17 × 179
Factors of 5191 = 1 × 29 × 179
∴ 179 is the greatest number.