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Question

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


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Solution

Step 1: Find HCF

Factor of 306=(2×3×3×17)

Factor of 657=(3×3×73)

The common prime factor is 3

The HCF of 306 and 657 is =3×3=9

Step 2: Find LCM using HCF

HCF x LCM = product of two numbers

HCF(657,306) × LCM(657,306) = 657×306

The HCF of 657 and 306 = 9

9× LCM(657,306)=201042

LCM(657,306)=2010429

LCM = 22338

Hence the HCF and LCM of 306 and 657 are 9 and 22338 respectively.


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