Question

using Euclid's division lemma find the HCF of 72&120 and prove that product of two numbers is equal to product of HCF and LCM




please give correct answers only
or else
I will report​

Answer 1

Lemma method for H.C.F

72(120)1

- 72

________

48(72)1

- 48

__________

24(48)2

- 48

_______________

00

Therefore Until u get 0 as remainder keep doing this process.

When You get Reminder as a 0 You divisior is your HCF .

In this case 24 is HCF.

H.C.F*LCM = PRODUCT OF 1st number and 2nd number

Factor of 72 = 2 *2*2*3*3

Factor of 120 = 2*2*2*3*5

H.C.F =24 AND LCM=360

24*360 = 72*120

8640=8640

THEREFORE L.H.S = R.H.S

HENCE PROVED