If three numbers are in the ratio 3:5:10 and their LCM is 630 then their HCF?
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Let the numbers be 3x, 5x abd 10x.
There is a formula that
HCF (a, b, c)= [a*b*c*LCM (a, b, c)]÷[LCM (a, b)*LCM (b, c)*LCM (a, c)]
Putting the values
=[3x*5x*10x*630]÷[15x*10x*30x]
=[150*x^3*630]÷[4500*x^3]
=[150*630]÷[4500]
=94500÷4500
=21
Therefore the HCF of three numbers which are in the ratio of 3:5:10 is 21.
There is a formula that
HCF (a, b, c)= [a*b*c*LCM (a, b, c)]÷[LCM (a, b)*LCM (b, c)*LCM (a, c)]
Putting the values
=[3x*5x*10x*630]÷[15x*10x*30x]
=[150*x^3*630]÷[4500*x^3]
=[150*630]÷[4500]
=94500÷4500
=21
Therefore the HCF of three numbers which are in the ratio of 3:5:10 is 21.
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