17. The H.C.F and L.C.M of two numbers of are 4 and 32 respectively. Find the numbers.
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LCM is always divisible by HCF.
So LCM/HCF = 640/32 = 20.
20 = 1x20, 2x10, 4x5
Reject the pair which has common factor/s. That is take those pair of numbers which are coprime.
To find out the two numbers take the individual numbers in each such pair and multiply with HCF
We have 1x32, 20x32 = 32 and 640 as one set of numbers,
4x32, 5x 32 = 128 and 160.
We get two sets of numbers 32 and 640,
128 and 160.
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Answer:
So LCM/HCF = 640/32 = 20.
Step-by-step explana
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