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What are the HCF and LCM of the numbers 234,572 respectively?

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61, 5148

62, 4851

73, 273

26, 5148

answer is D.

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Detailed Solution

The given data are the numbers 234 and 572.
We are required to find the HCF and LCM of the given numbers.

2234311733913

257222861314311

That is,

⇒ 234 = 2 × 3 × 3 × 13 ⇒ 572 = 2 × 2 × 11 × 13

The HCF is found by selecting the common prime factors of the numbers and multiplying those common factors in the following way.

⇒ H C F = 2 × 13 = 26

The LCM is found by selecting all the factors of the numbers and multiplying those factors in the following way.

⇒ L C M = 22 × 33 × 11 × 13 = 5148

The required HCF and LCM of the numbers are 26, 5148.
Hence option (4) is correct.

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