Highest Common Factor of 6467, 4034 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 6467, 4034 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6467, 4034 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 6467, 4034 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 6467, 4034 is 1.

HCF(6467, 4034) = 1

HCF of 6467, 4034 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 6467, 4034 is 1.

Highest Common Factor of 6467,4034 using Euclid's algorithm

Highest Common Factor of 6467,4034 is 1

Step 1: Since 6467 > 4034, we apply the division lemma to 6467 and 4034, to get

6467 = 4034 x 1 + 2433

Step 2: Since the reminder 4034 ≠ 0, we apply division lemma to 2433 and 4034, to get

4034 = 2433 x 1 + 1601

Step 3: We consider the new divisor 2433 and the new remainder 1601, and apply the division lemma to get

2433 = 1601 x 1 + 832

We consider the new divisor 1601 and the new remainder 832,and apply the division lemma to get

1601 = 832 x 1 + 769

We consider the new divisor 832 and the new remainder 769,and apply the division lemma to get

832 = 769 x 1 + 63

We consider the new divisor 769 and the new remainder 63,and apply the division lemma to get

769 = 63 x 12 + 13

We consider the new divisor 63 and the new remainder 13,and apply the division lemma to get

63 = 13 x 4 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 6467 and 4034 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(63,13) = HCF(769,63) = HCF(832,769) = HCF(1601,832) = HCF(2433,1601) = HCF(4034,2433) = HCF(6467,4034) .

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Frequently Asked Questions on HCF of 6467, 4034 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 6467, 4034?

Answer: HCF of 6467, 4034 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6467, 4034 using Euclid's Algorithm?

Answer: For arbitrary numbers 6467, 4034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.