Question

Find the G.C.M. of : 3.20, 0.48 and 15.00​

Answer 1

Answer:

Please find below the solution to the asked query:

To find G.C.F. of 3.20 , 0.48 and 15.00 , First we convert these numbers in form of pq , q≠0 , As :

3.20 = 3.20 ×1010 = 3210 = 165 ,

0.48 = 0.48 ×100100 = 48100 = 1225

And

15.00 = 15.00×100100 = 1500100 = 151

We know G.C.F. of fractions = GCF of numeratorsLCM of denominators

Now we find G.C.F. of ( 16 , 12 and 15 ) , As :

16 = 2 × 2 × 2 × 2 ,

12 = 2 × 2 × 3 ,

15 = 3 × 5

Thus , G.C.F. of ( 16 , 12 and 15 ) = 1

And we find L.C.M. of ( 5 , 25 and 1 ) , As :

5 = 1 × 5

25 = 5 × 5

So ,

L.C.M. of ( 5 , 25 and 1 ) = 5 × 5 = 25

Therefore,

G.C.F. of 3.20 , 0.48 and 15.00 = 125 ( Ans )

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