Question

Hcf of 450 and 1986
By euclid’s Division lemma

Answer 1

Answer:

Below detailed show work will make you learn how to find HCF of 450,27 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(450,27).

Here 450 is greater than 27

Now, consider the largest number as 'a' from the given number ie., 450 and 27 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 450 > 27, we apply the division lemma to 450 and 27, to get

450 = 27 x 16 + 18

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 18 and 27, to get

27 = 18 x 1 + 9

Step 3: We consider the new divisor 18 and the new remainder 9, and apply the division lemma to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 450 and 27 is 9

Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(450,27) .

Step-by-step explanation: