Question

FindH.C.FandL.C.Mof235and65byEuclidmethod

Answer 1

Answer: HCF - 5, LCM - 3055

Step-by-step explanation: According to Euclid's division lemma a=bq+r.

Since 235 is greater than 65 consider a=235 and b=65.

235 = 65 × 3 + 40

65 = 40 × 1 + 25

40 = 25 × 1 + 15

25 = 15 × 1 + 10

15 = 10 × 1 + 5

10 = 5 × 2 + 0

Since the remainder is now 0, the divisor of this step is the HCF.

So, the HCF of 235 and 65 is 5.

HCF(a,b) × LCM(a,b) = a×b

HCF(235,65) × LCM(235,65) = 235 × 65

5 × LCM(235,65) = 15,275

LCM(235,65) = 15275/5

LCM(235,65) = 3055

So, the LCM of 235 and 65 is 3055.

I hope that it would be helpful to you.