Highest Common Factor of 8379, 4630 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 8379, 4630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8379, 4630 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 8379, 4630 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 8379, 4630 is 1.

HCF(8379, 4630) = 1

HCF of 8379, 4630 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 8379, 4630 is 1.

Highest Common Factor of 8379,4630 using Euclid's algorithm

Highest Common Factor of 8379,4630 is 1

Step 1: Since 8379 > 4630, we apply the division lemma to 8379 and 4630, to get

8379 = 4630 x 1 + 3749

Step 2: Since the reminder 4630 ≠ 0, we apply division lemma to 3749 and 4630, to get

4630 = 3749 x 1 + 881

Step 3: We consider the new divisor 3749 and the new remainder 881, and apply the division lemma to get

3749 = 881 x 4 + 225

We consider the new divisor 881 and the new remainder 225,and apply the division lemma to get

881 = 225 x 3 + 206

We consider the new divisor 225 and the new remainder 206,and apply the division lemma to get

225 = 206 x 1 + 19

We consider the new divisor 206 and the new remainder 19,and apply the division lemma to get

206 = 19 x 10 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8379 and 4630 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(206,19) = HCF(225,206) = HCF(881,225) = HCF(3749,881) = HCF(4630,3749) = HCF(8379,4630) .

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Frequently Asked Questions on HCF of 8379, 4630 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 8379, 4630?

Answer: HCF of 8379, 4630 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8379, 4630 using Euclid's Algorithm?

Answer: For arbitrary numbers 8379, 4630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.