Highest Common Factor of 6911, 7949 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 6911, 7949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6911, 7949 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 6911, 7949 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 6911, 7949 is 1.

HCF(6911, 7949) = 1

HCF of 6911, 7949 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 6911, 7949 is 1.

Highest Common Factor of 6911,7949 using Euclid's algorithm

Highest Common Factor of 6911,7949 is 1

Step 1: Since 7949 > 6911, we apply the division lemma to 7949 and 6911, to get

7949 = 6911 x 1 + 1038

Step 2: Since the reminder 6911 ≠ 0, we apply division lemma to 1038 and 6911, to get

6911 = 1038 x 6 + 683

Step 3: We consider the new divisor 1038 and the new remainder 683, and apply the division lemma to get

1038 = 683 x 1 + 355

We consider the new divisor 683 and the new remainder 355,and apply the division lemma to get

683 = 355 x 1 + 328

We consider the new divisor 355 and the new remainder 328,and apply the division lemma to get

355 = 328 x 1 + 27

We consider the new divisor 328 and the new remainder 27,and apply the division lemma to get

328 = 27 x 12 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 6911 and 7949 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(328,27) = HCF(355,328) = HCF(683,355) = HCF(1038,683) = HCF(6911,1038) = HCF(7949,6911) .

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Frequently Asked Questions on HCF of 6911, 7949 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 6911, 7949?

Answer: HCF of 6911, 7949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6911, 7949 using Euclid's Algorithm?

Answer: For arbitrary numbers 6911, 7949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.