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Find HCF of 306 and 657. …

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Find HCF of 306 and 657. And also find their LCM using their HCF

Posted by Farkhnaaz Rajput 5 years ago

CBSE > Class 10 > Mathematics

2 answers

Shiva Gowri 5 years ago

Find HCF and LCM of 306 and 657 Answer Use Euclid s division algorithm lemma to find HCF a= bq+ r where 0<= r < b 657 and 306 657= 306 * 2+ 45 306=45*6+9 45=36*1+9 36=9*4+0 Therefore HCF = 9 Product of prime = Product of LCM and HCF 306*657= LCM* HCF 306*657= LCM *9 306*657/9=LCM 34*957= LCM 22,338 = LCM. Therefore LCM= 22 ,338 and HCF=9

2Thank You

Yogita Ingle 5 years ago

The given numbers are 306 and 657.

The factor form of given numbers are

It is clear that 3 and 3 are common factors. So, the HCF of both numbers is

If a and b are two numbers then

Therefore the LCM of both numbers is 22338.

1Thank You

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