Highest Common Factor of 7966, 2699 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 7966, 2699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7966, 2699 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 7966, 2699 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 7966, 2699 is 1.

HCF(7966, 2699) = 1

HCF of 7966, 2699 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 7966, 2699 is 1.

Highest Common Factor of 7966,2699 using Euclid's algorithm

Highest Common Factor of 7966,2699 is 1

Step 1: Since 7966 > 2699, we apply the division lemma to 7966 and 2699, to get

7966 = 2699 x 2 + 2568

Step 2: Since the reminder 2699 ≠ 0, we apply division lemma to 2568 and 2699, to get

2699 = 2568 x 1 + 131

Step 3: We consider the new divisor 2568 and the new remainder 131, and apply the division lemma to get

2568 = 131 x 19 + 79

We consider the new divisor 131 and the new remainder 79,and apply the division lemma to get

131 = 79 x 1 + 52

We consider the new divisor 79 and the new remainder 52,and apply the division lemma to get

79 = 52 x 1 + 27

We consider the new divisor 52 and the new remainder 27,and apply the division lemma to get

52 = 27 x 1 + 25

We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get

27 = 25 x 1 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 7966 and 2699 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(52,27) = HCF(79,52) = HCF(131,79) = HCF(2568,131) = HCF(2699,2568) = HCF(7966,2699) .

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Frequently Asked Questions on HCF of 7966, 2699 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 7966, 2699?

Answer: HCF of 7966, 2699 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7966, 2699 using Euclid's Algorithm?

Answer: For arbitrary numbers 7966, 2699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.