Highest Common Factor of 6905, 4022 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 6905, 4022 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6905, 4022 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 6905, 4022 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 6905, 4022 is 1.

HCF(6905, 4022) = 1

HCF of 6905, 4022 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 6905, 4022 is 1.

Highest Common Factor of 6905,4022 using Euclid's algorithm

Highest Common Factor of 6905,4022 is 1

Step 1: Since 6905 > 4022, we apply the division lemma to 6905 and 4022, to get

6905 = 4022 x 1 + 2883

Step 2: Since the reminder 4022 ≠ 0, we apply division lemma to 2883 and 4022, to get

4022 = 2883 x 1 + 1139

Step 3: We consider the new divisor 2883 and the new remainder 1139, and apply the division lemma to get

2883 = 1139 x 2 + 605

We consider the new divisor 1139 and the new remainder 605,and apply the division lemma to get

1139 = 605 x 1 + 534

We consider the new divisor 605 and the new remainder 534,and apply the division lemma to get

605 = 534 x 1 + 71

We consider the new divisor 534 and the new remainder 71,and apply the division lemma to get

534 = 71 x 7 + 37

We consider the new divisor 71 and the new remainder 37,and apply the division lemma to get

71 = 37 x 1 + 34

We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get

37 = 34 x 1 + 3

We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get

34 = 3 x 11 + 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 6905 and 4022 is 1

Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(71,37) = HCF(534,71) = HCF(605,534) = HCF(1139,605) = HCF(2883,1139) = HCF(4022,2883) = HCF(6905,4022) .

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Frequently Asked Questions on HCF of 6905, 4022 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 6905, 4022?

Answer: HCF of 6905, 4022 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6905, 4022 using Euclid's Algorithm?

Answer: For arbitrary numbers 6905, 4022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.