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Define Hoe of Two Positive Integers and Find the Hcf of the Following Pair of Numbers: 155 and 1385 - Mathematics

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

155 and 1385

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Solution

By applying Euclid’s division lemma

1385 = 155 × 8 + 145

Since remainder ≠ 0, applying division lemma on divisor 155 and remainder 145

155 = 145 × 1 + 10

Since remainder ≠ 0, applying division lemma on divisor 10 and remainder 5

10 = 5 × 2 + 0

∴ Hence HCF of 1385 and 155 = 5.

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.2 | Q 1.08 | Page 27
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