Highest Common Factor of 7879, 6691 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 7879, 6691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7879, 6691 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 7879, 6691 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 7879, 6691 is 1.

HCF(7879, 6691) = 1

HCF of 7879, 6691 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 7879, 6691 is 1.

Highest Common Factor of 7879,6691 using Euclid's algorithm

Highest Common Factor of 7879,6691 is 1

Step 1: Since 7879 > 6691, we apply the division lemma to 7879 and 6691, to get

7879 = 6691 x 1 + 1188

Step 2: Since the reminder 6691 ≠ 0, we apply division lemma to 1188 and 6691, to get

6691 = 1188 x 5 + 751

Step 3: We consider the new divisor 1188 and the new remainder 751, and apply the division lemma to get

1188 = 751 x 1 + 437

We consider the new divisor 751 and the new remainder 437,and apply the division lemma to get

751 = 437 x 1 + 314

We consider the new divisor 437 and the new remainder 314,and apply the division lemma to get

437 = 314 x 1 + 123

We consider the new divisor 314 and the new remainder 123,and apply the division lemma to get

314 = 123 x 2 + 68

We consider the new divisor 123 and the new remainder 68,and apply the division lemma to get

123 = 68 x 1 + 55

We consider the new divisor 68 and the new remainder 55,and apply the division lemma to get

68 = 55 x 1 + 13

We consider the new divisor 55 and the new remainder 13,and apply the division lemma to get

55 = 13 x 4 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 7879 and 6691 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(55,13) = HCF(68,55) = HCF(123,68) = HCF(314,123) = HCF(437,314) = HCF(751,437) = HCF(1188,751) = HCF(6691,1188) = HCF(7879,6691) .

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Frequently Asked Questions on HCF of 7879, 6691 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 7879, 6691?

Answer: HCF of 7879, 6691 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7879, 6691 using Euclid's Algorithm?

Answer: For arbitrary numbers 7879, 6691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.