Question

3. Find the greatest number which divides 285 and 1,249, leaving remainders 9 and 7 respectely​

Answer 1

Answer:

The required number is HCF of 276 and 1242.

276=2×2×3×23=22×31×231

1242=2×3×3×3×23=21×33×231

HCF of 276 and 1242=21×31×231

=138

The required greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively is 138.

Answer 2

Answer:

HCF of 285 and 1249 will be 138.

Now, this is the number that divides both the numbers leaving remainders 9 and 7 respectively...

To verify let's divide it...

285 ÷ 138 = 2 along with remainder 9

1249 ÷ 138 = 9 along with remainder 7.

Hence, verified also...

Hope it helps.

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