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