Highest Common Factor of 6683, 9212 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6683, 9212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6683, 9212 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6683, 9212 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6683, 9212 is 1.

HCF(6683, 9212) = 1

HCF of 6683, 9212 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6683, 9212 is 1.

Highest Common Factor of 6683,9212 using Euclid's algorithm

Highest Common Factor of 6683,9212 is 1

Step 1: Since 9212 > 6683, we apply the division lemma to 9212 and 6683, to get

9212 = 6683 x 1 + 2529

Step 2: Since the reminder 6683 ≠ 0, we apply division lemma to 2529 and 6683, to get

6683 = 2529 x 2 + 1625

Step 3: We consider the new divisor 2529 and the new remainder 1625, and apply the division lemma to get

2529 = 1625 x 1 + 904

We consider the new divisor 1625 and the new remainder 904,and apply the division lemma to get

1625 = 904 x 1 + 721

We consider the new divisor 904 and the new remainder 721,and apply the division lemma to get

904 = 721 x 1 + 183

We consider the new divisor 721 and the new remainder 183,and apply the division lemma to get

721 = 183 x 3 + 172

We consider the new divisor 183 and the new remainder 172,and apply the division lemma to get

183 = 172 x 1 + 11

We consider the new divisor 172 and the new remainder 11,and apply the division lemma to get

172 = 11 x 15 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6683 and 9212 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(172,11) = HCF(183,172) = HCF(721,183) = HCF(904,721) = HCF(1625,904) = HCF(2529,1625) = HCF(6683,2529) = HCF(9212,6683) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6683, 9212 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6683, 9212?

Answer: HCF of 6683, 9212 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6683, 9212 using Euclid's Algorithm?

Answer: For arbitrary numbers 6683, 9212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.