Question

Find HCF by division method 65,495​

Answer 1

Answer:

this is the correct method dude

Step-by-step explanation:

Since 495 > 65, we apply the division lemma to 495 and 65, to get

495 = 65 x 7 + 40

Step 2: Since the reminder 65 ≠ 0, we apply division lemma to 40 and 65, to get

65 = 40 x 1 + 25

Step 3: We consider the new divisor 40 and the new remainder 25, and apply the division lemma to get

40 = 25 x 1 + 15

We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get

25 = 15 x 1 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 65 and 495 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(40,25) = HCF(65,40) = HCF(495,65) .

Therefore, HCF of 65,495 using Euclid's division lemma is 5.

Answer 2

Answer:

Correct answer is 5

Step-by-step explanation:

65=5×13

495=3×3×5×11

Higest common factor is 5