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Define Hoe of Two Positive Integers and Find the Hcf of the Following Pair of Numbers: 240 and 6552 - Mathematics

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Question

Define HOE of two positive integers and find the HCF of the following pair of numbers:

240 and 6552

Solution

By applying Euclid’s division lemma

6552 = 240 × 27 + 72

Since remainder ≠ 0, apply division lemma on divisor of 240 and remainder 72.

210 = 72 × 3 + 24

Since remainder ≠ 0, apply division lemma on divisor of 72 and remainder 24.

72 = 24 × 3 + 0

∴ HCF of 6552 and 240 is = 24.

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Chapter 1: Real Numbers - Exercise 1.2 [Page 27]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.2 | Q 1.07 | Page 27

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