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Use Euclid division algorithm to find …

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Use Euclid division algorithm to find the HCF of 900and 270

Posted by Veraiah Kesam 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 10 months ago

Euclid's division lemma :

Let a and b be any two positive

integers .Then there exists two

unique whole numbers q and r

such that

a = bq + r ,

0 ≤ r < b

Now , 900 and 270 , start with the larger integer , that is 900. Apply the
Division lemma , we get
900 = 270 × 3 + 90
270 = 90 × 3 + 0
The remainder has now become zero . Now our procedure stops.
Since the divisor at this stage is 90.
Therefore ,
HCF ( 900 , 270 ) = 90

1Thank You

ANSWER

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