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Define HCF of two positive integers and find the HCF of the following pair of numbers: 100 and 190

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Question

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

100 and 190

Numerical
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Solution

By applying Euclid’s division lemma

190 = 100 × 1 + 90

Since remainder ≠ 0, applying division lemma on divisor 100 and remainder 90.

90 = 10 × 9 + 0

∴ HCF of 100 and 190 = 10.

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Chapter 1: Real Numbers - EXERCISE 1.2 [Page 1.21]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1.2 | Q 1. (v) | Page 1.21
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