Highest Common Factor of 3412, 6371 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 3412, 6371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3412, 6371 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 3412, 6371 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 3412, 6371 is 1.

HCF(3412, 6371) = 1

HCF of 3412, 6371 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 3412, 6371 is 1.

Highest Common Factor of 3412,6371 using Euclid's algorithm

Highest Common Factor of 3412,6371 is 1

Step 1: Since 6371 > 3412, we apply the division lemma to 6371 and 3412, to get

6371 = 3412 x 1 + 2959

Step 2: Since the reminder 3412 ≠ 0, we apply division lemma to 2959 and 3412, to get

3412 = 2959 x 1 + 453

Step 3: We consider the new divisor 2959 and the new remainder 453, and apply the division lemma to get

2959 = 453 x 6 + 241

We consider the new divisor 453 and the new remainder 241,and apply the division lemma to get

453 = 241 x 1 + 212

We consider the new divisor 241 and the new remainder 212,and apply the division lemma to get

241 = 212 x 1 + 29

We consider the new divisor 212 and the new remainder 29,and apply the division lemma to get

212 = 29 x 7 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 3412 and 6371 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(212,29) = HCF(241,212) = HCF(453,241) = HCF(2959,453) = HCF(3412,2959) = HCF(6371,3412) .

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Frequently Asked Questions on HCF of 3412, 6371 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 3412, 6371?

Answer: HCF of 3412, 6371 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3412, 6371 using Euclid's Algorithm?

Answer: For arbitrary numbers 3412, 6371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.