Highest Common Factor of 6022, 4057 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 6022, 4057 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6022, 4057 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 6022, 4057 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 6022, 4057 is 1.

HCF(6022, 4057) = 1

HCF of 6022, 4057 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 6022, 4057 is 1.

Highest Common Factor of 6022,4057 using Euclid's algorithm

Highest Common Factor of 6022,4057 is 1

Step 1: Since 6022 > 4057, we apply the division lemma to 6022 and 4057, to get

6022 = 4057 x 1 + 1965

Step 2: Since the reminder 4057 ≠ 0, we apply division lemma to 1965 and 4057, to get

4057 = 1965 x 2 + 127

Step 3: We consider the new divisor 1965 and the new remainder 127, and apply the division lemma to get

1965 = 127 x 15 + 60

We consider the new divisor 127 and the new remainder 60,and apply the division lemma to get

127 = 60 x 2 + 7

We consider the new divisor 60 and the new remainder 7,and apply the division lemma to get

60 = 7 x 8 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 6022 and 4057 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(60,7) = HCF(127,60) = HCF(1965,127) = HCF(4057,1965) = HCF(6022,4057) .

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Frequently Asked Questions on HCF of 6022, 4057 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 6022, 4057?

Answer: HCF of 6022, 4057 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6022, 4057 using Euclid's Algorithm?

Answer: For arbitrary numbers 6022, 4057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.