Question

Playing with numbers find the largest no which exactly divides 280 and 1245 learing remainder 4 and 3

Answer 1

Hi friend
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Your answer
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Given that : -

A number divides 280 and 1245 leaving remainders 4 and 3.

Find the number?

Now,
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As the number leaves remainders 4 and 3.

That means,

The number divides (280 - 4) = 276 and (1245 - 3) = 1242 perfectly.

Then,

The number = HCF of 276 and 1242

Now,

276 = 2² × 3 × 23 and 1242 = 2 × 3³ × 23

HCF = 2 × 3 × 23 = 138

Therefore ,


The number is 138.

HOPE IT HELPS