Finding the HCF of two numbers practically on the basis of Euclid's Divison Lemma.
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Apply Euclid's division lemma to the given integers 'a' and 'b' to find two whole numbers 'q' and 'r' such that, a = b x q + r. 3. Check the value of 'r'. If r = 0 then 'b' is the HCF of the given numbers.
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Answer:
Suppose if we have two numbers 135 and 188
Euclid's Division Lemma states that
a(dividend) = B(divisor) × q(quotient) +r (remainder)
So,let's see the example
135<188
So,divide 188 by 135
and write the dividend in form of the lemma
188= 135 × 1(quotient) + 53 (remainder)
Now , take the divisor of that step and divide it the remainder
Follow this step until remainder becomes 0
The divisor of last step i.e. the divisor of step when remainder becomes 0 is The
HCF of the given numbers
Hope it helps
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