Highest Common Factor of 3970, 5667 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 3970, 5667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3970, 5667 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 3970, 5667 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 3970, 5667 is 1.

HCF(3970, 5667) = 1

HCF of 3970, 5667 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 3970, 5667 is 1.

Highest Common Factor of 3970,5667 using Euclid's algorithm

Highest Common Factor of 3970,5667 is 1

Step 1: Since 5667 > 3970, we apply the division lemma to 5667 and 3970, to get

5667 = 3970 x 1 + 1697

Step 2: Since the reminder 3970 ≠ 0, we apply division lemma to 1697 and 3970, to get

3970 = 1697 x 2 + 576

Step 3: We consider the new divisor 1697 and the new remainder 576, and apply the division lemma to get

1697 = 576 x 2 + 545

We consider the new divisor 576 and the new remainder 545,and apply the division lemma to get

576 = 545 x 1 + 31

We consider the new divisor 545 and the new remainder 31,and apply the division lemma to get

545 = 31 x 17 + 18

We consider the new divisor 31 and the new remainder 18,and apply the division lemma to get

31 = 18 x 1 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3970 and 5667 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(31,18) = HCF(545,31) = HCF(576,545) = HCF(1697,576) = HCF(3970,1697) = HCF(5667,3970) .

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Frequently Asked Questions on HCF of 3970, 5667 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 3970, 5667?

Answer: HCF of 3970, 5667 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3970, 5667 using Euclid's Algorithm?

Answer: For arbitrary numbers 3970, 5667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.