Highest Common Factor of 7839, 2761 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 7839, 2761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7839, 2761 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 7839, 2761 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 7839, 2761 is 1.

HCF(7839, 2761) = 1

HCF of 7839, 2761 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7839, 2761 is 1.

Highest Common Factor of 7839,2761 using Euclid's algorithm

Highest Common Factor of 7839,2761 is 1

Step 1: Since 7839 > 2761, we apply the division lemma to 7839 and 2761, to get

7839 = 2761 x 2 + 2317

Step 2: Since the reminder 2761 ≠ 0, we apply division lemma to 2317 and 2761, to get

2761 = 2317 x 1 + 444

Step 3: We consider the new divisor 2317 and the new remainder 444, and apply the division lemma to get

2317 = 444 x 5 + 97

We consider the new divisor 444 and the new remainder 97,and apply the division lemma to get

444 = 97 x 4 + 56

We consider the new divisor 97 and the new remainder 56,and apply the division lemma to get

97 = 56 x 1 + 41

We consider the new divisor 56 and the new remainder 41,and apply the division lemma to get

56 = 41 x 1 + 15

We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get

41 = 15 x 2 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 7839 and 2761 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(56,41) = HCF(97,56) = HCF(444,97) = HCF(2317,444) = HCF(2761,2317) = HCF(7839,2761) .

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Frequently Asked Questions on HCF of 7839, 2761 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 7839, 2761?

Answer: HCF of 7839, 2761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7839, 2761 using Euclid's Algorithm?

Answer: For arbitrary numbers 7839, 2761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.