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Define Hoe of Two Positive Integers and Find the Hcf of the Following Pair of Numbers: 475 and 495 - CBSE Class 10 - Mathematics

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Question

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

475 and 495

Solution

By applying Euclid’s division lemma

495 = 475 × 1 +20

Since remainder ≠ 0, apply division lemma on divisor of 475 and remainder 20.

475 = 20 × 23 + 15

Since remainder ≠ 0, apply division lemma on divisor of 20 and remainder 15.

20 = 15 × 1 + 5

Since remainder ≠ 0, apply division lemma on divisor of 15 and remainder 5.

15 = 5 × 3 + 0

∴ HCF of 475 and 495 is = 5.

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APPEARS IN

 RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 1: Real Numbers
Ex. 1.20 | Q: 1.05 | Page no. 27

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Solution Define Hoe of Two Positive Integers and Find the Hcf of the Following Pair of Numbers: 475 and 495 Concept: Euclid’s Division Lemma.
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