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The two given numbers A and B are in the ratio 5:6 such that their LCM is 480. Find their HCF.
15
18
22
16
Tip: If A and B are two numbers, A x B = HCF of A and B x LCM of A and B Let K be common factor. So 2 numbers are 5K and 6K Also K is the greatest common factor (HCF) as 5 and 6 have no other common factor ∴ 5K x 6K = 480 x K K = 16 = HCF
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