Highest Common Factor of 4281, 6775 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 4281, 6775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4281, 6775 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 4281, 6775 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 4281, 6775 is 1.

HCF(4281, 6775) = 1

HCF of 4281, 6775 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 4281, 6775 is 1.

Highest Common Factor of 4281,6775 using Euclid's algorithm

Highest Common Factor of 4281,6775 is 1

Step 1: Since 6775 > 4281, we apply the division lemma to 6775 and 4281, to get

6775 = 4281 x 1 + 2494

Step 2: Since the reminder 4281 ≠ 0, we apply division lemma to 2494 and 4281, to get

4281 = 2494 x 1 + 1787

Step 3: We consider the new divisor 2494 and the new remainder 1787, and apply the division lemma to get

2494 = 1787 x 1 + 707

We consider the new divisor 1787 and the new remainder 707,and apply the division lemma to get

1787 = 707 x 2 + 373

We consider the new divisor 707 and the new remainder 373,and apply the division lemma to get

707 = 373 x 1 + 334

We consider the new divisor 373 and the new remainder 334,and apply the division lemma to get

373 = 334 x 1 + 39

We consider the new divisor 334 and the new remainder 39,and apply the division lemma to get

334 = 39 x 8 + 22

We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get

39 = 22 x 1 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4281 and 6775 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(334,39) = HCF(373,334) = HCF(707,373) = HCF(1787,707) = HCF(2494,1787) = HCF(4281,2494) = HCF(6775,4281) .

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Frequently Asked Questions on HCF of 4281, 6775 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 4281, 6775?

Answer: HCF of 4281, 6775 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4281, 6775 using Euclid's Algorithm?

Answer: For arbitrary numbers 4281, 6775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.