1.

1). 872). 883). 894). Cannot be determined

Answer»

Let the numbers be X and y.

2436 = 3 × 4 × 7 × 29

$(\THEREFORE \FRAC{x}{y} = \frac{{4k\; \times 7 \times 29}}{{3k \times 7 \times 29}} = \frac{4}{3})$

As LCM is the least common factor, we would be using 1 as the value of k.

∴ x = 812 and y = 609

HCF (812, 609) = $(\frac{{812 \times 609}}{{2436}} = 203)$

Alternative METHOD,

Let the two number be 3x and 4x.

Then, the LCM of 3x and 4x = 12x

⇒ 12x = 2436

⇒ x = 203

The HCF(highest common factor) of 3x and 4x is x.

Hence, HCF (x) = 203 will be the correct answer.



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