Question

Three numbers are in the rational 4:5:6 and their LCM is 4500. What is their HFC?

Answer 1

Answer:

here you go

Step-by-step explanation:

Let the three numbers be 4a, 5a and 6a.

LCM of 4a, 5a and 6a = 60a

So, 60a = 4500 (given) , i.e, a= 4500/60 = 75

So the numbers are, 4x75=300, 5x75 = 375 and 6x75 = 450

300 = 2 x 2 x 3 × 5 × 5

375= 3 × 5 × 5 × 5

450 = 2 x 3 x 3 x 5 x 5

So, HCF = 3× 5×5= 75 Ans.

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