Question

find hcf of 96 and 192 using Euclid division lemma​

Answer 1

Answer:

96=2x2x2x2x2x3

192=2x2x2x2x2x2x3

Answer 2

Answer:

• HCF of 96 and 192 is 96.

Step-by-step explanation:

Given:

• We have to find HCF of two numbers 96 and 192 by using Euclid division lemma.

Euclid Division lemma: According to Euclid’s Division Lemma if we have two positive integers a and b, then there exists unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b.

Let,

• a = 192
• b = 92

⇒ a = bq + r        [Euclid division lemma]

⇒ 192 = 96 × 2 + 0

Hence, HCF of 96 and 192 is 96.

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