Highest Common Factor of 6317, 8346 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 6317, 8346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6317, 8346 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 6317, 8346 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 6317, 8346 is 1.

HCF(6317, 8346) = 1

HCF of 6317, 8346 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 6317, 8346 is 1.

Highest Common Factor of 6317,8346 using Euclid's algorithm

Highest Common Factor of 6317,8346 is 1

Step 1: Since 8346 > 6317, we apply the division lemma to 8346 and 6317, to get

8346 = 6317 x 1 + 2029

Step 2: Since the reminder 6317 ≠ 0, we apply division lemma to 2029 and 6317, to get

6317 = 2029 x 3 + 230

Step 3: We consider the new divisor 2029 and the new remainder 230, and apply the division lemma to get

2029 = 230 x 8 + 189

We consider the new divisor 230 and the new remainder 189,and apply the division lemma to get

230 = 189 x 1 + 41

We consider the new divisor 189 and the new remainder 41,and apply the division lemma to get

189 = 41 x 4 + 25

We consider the new divisor 41 and the new remainder 25,and apply the division lemma to get

41 = 25 x 1 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6317 and 8346 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(41,25) = HCF(189,41) = HCF(230,189) = HCF(2029,230) = HCF(6317,2029) = HCF(8346,6317) .

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Frequently Asked Questions on HCF of 6317, 8346 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 6317, 8346?

Answer: HCF of 6317, 8346 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6317, 8346 using Euclid's Algorithm?

Answer: For arbitrary numbers 6317, 8346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.