Highest Common Factor of 6929, 3882 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 6929, 3882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6929, 3882 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 6929, 3882 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 6929, 3882 is 1.

HCF(6929, 3882) = 1

HCF of 6929, 3882 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 6929, 3882 is 1.

Highest Common Factor of 6929,3882 using Euclid's algorithm

Highest Common Factor of 6929,3882 is 1

Step 1: Since 6929 > 3882, we apply the division lemma to 6929 and 3882, to get

6929 = 3882 x 1 + 3047

Step 2: Since the reminder 3882 ≠ 0, we apply division lemma to 3047 and 3882, to get

3882 = 3047 x 1 + 835

Step 3: We consider the new divisor 3047 and the new remainder 835, and apply the division lemma to get

3047 = 835 x 3 + 542

We consider the new divisor 835 and the new remainder 542,and apply the division lemma to get

835 = 542 x 1 + 293

We consider the new divisor 542 and the new remainder 293,and apply the division lemma to get

542 = 293 x 1 + 249

We consider the new divisor 293 and the new remainder 249,and apply the division lemma to get

293 = 249 x 1 + 44

We consider the new divisor 249 and the new remainder 44,and apply the division lemma to get

249 = 44 x 5 + 29

We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get

44 = 29 x 1 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6929 and 3882 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(249,44) = HCF(293,249) = HCF(542,293) = HCF(835,542) = HCF(3047,835) = HCF(3882,3047) = HCF(6929,3882) .

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Frequently Asked Questions on HCF of 6929, 3882 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 6929, 3882?

Answer: HCF of 6929, 3882 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6929, 3882 using Euclid's Algorithm?

Answer: For arbitrary numbers 6929, 3882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.