Highest Common Factor of 875, 6372, 4179 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 875, 6372, 4179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 875, 6372, 4179 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 875, 6372, 4179 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 875, 6372, 4179 is 1.

HCF(875, 6372, 4179) = 1

HCF of 875, 6372, 4179 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 875, 6372, 4179 is 1.

Highest Common Factor of 875,6372,4179 using Euclid's algorithm

Highest Common Factor of 875,6372,4179 is 1

Step 1: Since 6372 > 875, we apply the division lemma to 6372 and 875, to get

6372 = 875 x 7 + 247

Step 2: Since the reminder 875 ≠ 0, we apply division lemma to 247 and 875, to get

875 = 247 x 3 + 134

Step 3: We consider the new divisor 247 and the new remainder 134, and apply the division lemma to get

247 = 134 x 1 + 113

We consider the new divisor 134 and the new remainder 113,and apply the division lemma to get

134 = 113 x 1 + 21

We consider the new divisor 113 and the new remainder 21,and apply the division lemma to get

113 = 21 x 5 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 875 and 6372 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(113,21) = HCF(134,113) = HCF(247,134) = HCF(875,247) = HCF(6372,875) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 4179 > 1, we apply the division lemma to 4179 and 1, to get

4179 = 1 x 4179 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4179 is 1

Notice that 1 = HCF(4179,1) .

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Frequently Asked Questions on HCF of 875, 6372, 4179 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 875, 6372, 4179?

Answer: HCF of 875, 6372, 4179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 875, 6372, 4179 using Euclid's Algorithm?

Answer: For arbitrary numbers 875, 6372, 4179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.