Highest Common Factor of 6739, 4286 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 6739, 4286 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6739, 4286 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 6739, 4286 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 6739, 4286 is 1.

HCF(6739, 4286) = 1

HCF of 6739, 4286 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 6739, 4286 is 1.

Highest Common Factor of 6739,4286 using Euclid's algorithm

Highest Common Factor of 6739,4286 is 1

Step 1: Since 6739 > 4286, we apply the division lemma to 6739 and 4286, to get

6739 = 4286 x 1 + 2453

Step 2: Since the reminder 4286 ≠ 0, we apply division lemma to 2453 and 4286, to get

4286 = 2453 x 1 + 1833

Step 3: We consider the new divisor 2453 and the new remainder 1833, and apply the division lemma to get

2453 = 1833 x 1 + 620

We consider the new divisor 1833 and the new remainder 620,and apply the division lemma to get

1833 = 620 x 2 + 593

We consider the new divisor 620 and the new remainder 593,and apply the division lemma to get

620 = 593 x 1 + 27

We consider the new divisor 593 and the new remainder 27,and apply the division lemma to get

593 = 27 x 21 + 26

We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get

27 = 26 x 1 + 1

We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6739 and 4286 is 1

Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(593,27) = HCF(620,593) = HCF(1833,620) = HCF(2453,1833) = HCF(4286,2453) = HCF(6739,4286) .

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Frequently Asked Questions on HCF of 6739, 4286 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 6739, 4286?

Answer: HCF of 6739, 4286 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6739, 4286 using Euclid's Algorithm?

Answer: For arbitrary numbers 6739, 4286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.