HCF of 63, 14, 35 using Euclid's algorithm

Below detailed show work will make you learn how to find HCF of 63,14,35 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(63,14,35).

Here 63 is greater than 14

Now, consider the largest number as 'a' from the given number ie., 63 and 14 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 63 > 14, we apply the division lemma to 63 and 14, to get

63 = 14 x 4 + 7

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 7 and 14, to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 63 and 14 is 7

Notice that 7 = HCF(14,7) = HCF(63,14) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Here 35 is greater than 7

Now, consider the largest number as 'a' from the given number ie., 35 and 7 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 35 > 7, we apply the division lemma to 35 and 7, to get

35 = 7 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 35 is 7

Notice that 7 = HCF(35,7) .

Therefore, HCF of 63,14,35 using Euclid's division lemma is 7.