Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of the two given numbers. (CBSE 2018)
Prime Factorising the given numbers:
404 = 2 × 2 × 101
96 = 2 × 2 × 2 × 2 × 2 × 3
Now,H.C.F = Multiplication of common factors of numbers. Therefore,
HCF = 2 x 2
L.C.M = Multiplication of all the factors of numbers. Therefore,
LCM = 2 x 2 × 101 × 2 × 2 × 2 × 3
= 9696
HCF x LCM = 9696×4 = 38784
= 404×96 = Product of Two Numbers
Hence, Verified.
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