Highest Common Factor of 6167, 4407 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 6167, 4407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6167, 4407 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 6167, 4407 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 6167, 4407 is 1.

HCF(6167, 4407) = 1

HCF of 6167, 4407 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 6167, 4407 is 1.

Highest Common Factor of 6167,4407 using Euclid's algorithm

Highest Common Factor of 6167,4407 is 1

Step 1: Since 6167 > 4407, we apply the division lemma to 6167 and 4407, to get

6167 = 4407 x 1 + 1760

Step 2: Since the reminder 4407 ≠ 0, we apply division lemma to 1760 and 4407, to get

4407 = 1760 x 2 + 887

Step 3: We consider the new divisor 1760 and the new remainder 887, and apply the division lemma to get

1760 = 887 x 1 + 873

We consider the new divisor 887 and the new remainder 873,and apply the division lemma to get

887 = 873 x 1 + 14

We consider the new divisor 873 and the new remainder 14,and apply the division lemma to get

873 = 14 x 62 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6167 and 4407 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(873,14) = HCF(887,873) = HCF(1760,887) = HCF(4407,1760) = HCF(6167,4407) .

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Frequently Asked Questions on HCF of 6167, 4407 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 6167, 4407?

Answer: HCF of 6167, 4407 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6167, 4407 using Euclid's Algorithm?

Answer: For arbitrary numbers 6167, 4407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.