Question

Find the greatest number which divides 125, 150 and 300 exactly when increased by 4.

Answer 1

Answer:

The required number = 21

Step-by-step explanation:

First we have to find the Highest Common Factor of 125, 150 and 300

So

we know that

125 = 5×5×5

150 = 2×3×5×5

300 = 2×3×5×5

So

H.C.F = multiplication of common factors = 5×5 = 25

Thus

H.C.F = 25

And

25 - 4 = 21

Thus

If we increases 21 by 4 then we get 25 which divides the 125 , 150 and 300 and highest one with this property

Hence

The required number = 21