Highest Common Factor of 8292, 5317 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 8292, 5317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8292, 5317 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 8292, 5317 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 8292, 5317 is 1.

HCF(8292, 5317) = 1

HCF of 8292, 5317 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 8292, 5317 is 1.

Highest Common Factor of 8292,5317 using Euclid's algorithm

Highest Common Factor of 8292,5317 is 1

Step 1: Since 8292 > 5317, we apply the division lemma to 8292 and 5317, to get

8292 = 5317 x 1 + 2975

Step 2: Since the reminder 5317 ≠ 0, we apply division lemma to 2975 and 5317, to get

5317 = 2975 x 1 + 2342

Step 3: We consider the new divisor 2975 and the new remainder 2342, and apply the division lemma to get

2975 = 2342 x 1 + 633

We consider the new divisor 2342 and the new remainder 633,and apply the division lemma to get

2342 = 633 x 3 + 443

We consider the new divisor 633 and the new remainder 443,and apply the division lemma to get

633 = 443 x 1 + 190

We consider the new divisor 443 and the new remainder 190,and apply the division lemma to get

443 = 190 x 2 + 63

We consider the new divisor 190 and the new remainder 63,and apply the division lemma to get

190 = 63 x 3 + 1

We consider the new divisor 63 and the new remainder 1,and apply the division lemma to get

63 = 1 x 63 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8292 and 5317 is 1

Notice that 1 = HCF(63,1) = HCF(190,63) = HCF(443,190) = HCF(633,443) = HCF(2342,633) = HCF(2975,2342) = HCF(5317,2975) = HCF(8292,5317) .

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Frequently Asked Questions on HCF of 8292, 5317 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 8292, 5317?

Answer: HCF of 8292, 5317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8292, 5317 using Euclid's Algorithm?

Answer: For arbitrary numbers 8292, 5317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.