Find the greatest number which divdes 285 and 1249 leaving remainders 9 and 7 respectively .
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Step-by-step explanation:
The required number is HCF of 276 and 1242.
276=2×2×3×23=2^2×3^1 ×23^1
1242=2×3×3×3×23=2^1×3^3 ×23^1
HCF of 276 and 1242=2^1 ×3^1×23^1 =138
The required greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively is 138.
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