Question

by applying the fundamental theorem of arithmetic funds the HCF of 125 and 425 hence find their LCM also

Answer 1

Euclid's algorithm= a=bq*r
HCF (125,425) =
425=125*3+50
125=50*2+25
50=25*2+0
Hence, HCF(125,425)=25


LCM(125,425)=5×5×5×17
=2125

That's your answer

Answer 2

Answer:

HCF (125, 425) = 25

and LCM (125, 425) = 5×5×5×17

= 2125

Step-by-step explanation:

To find HCf of 125 and 625 by Euclid's division lemma we have to divide 425 by 125

425 = 125 × 3 + 50

The remainder is 50 not equal to 0, so we divide 125 by 50 by euclid division lemma

125 = 50 × 2 + 25

The remainder is 25 not equal to 0, so we divide 50 by 20 by euclid division lemma

50 = 25 × 2 + 0

Now, The remainder has become zero.

Therefore, the HCF (125,425) = 25

And The LCM (125,425) = 5×5×5×17

= 2125