Highest Common Factor of 8426, 3079 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 8426, 3079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8426, 3079 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 8426, 3079 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 8426, 3079 is 1.

HCF(8426, 3079) = 1

HCF of 8426, 3079 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8426, 3079 is 1.

Highest Common Factor of 8426,3079 using Euclid's algorithm

Highest Common Factor of 8426,3079 is 1

Step 1: Since 8426 > 3079, we apply the division lemma to 8426 and 3079, to get

8426 = 3079 x 2 + 2268

Step 2: Since the reminder 3079 ≠ 0, we apply division lemma to 2268 and 3079, to get

3079 = 2268 x 1 + 811

Step 3: We consider the new divisor 2268 and the new remainder 811, and apply the division lemma to get

2268 = 811 x 2 + 646

We consider the new divisor 811 and the new remainder 646,and apply the division lemma to get

811 = 646 x 1 + 165

We consider the new divisor 646 and the new remainder 165,and apply the division lemma to get

646 = 165 x 3 + 151

We consider the new divisor 165 and the new remainder 151,and apply the division lemma to get

165 = 151 x 1 + 14

We consider the new divisor 151 and the new remainder 14,and apply the division lemma to get

151 = 14 x 10 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 8426 and 3079 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(151,14) = HCF(165,151) = HCF(646,165) = HCF(811,646) = HCF(2268,811) = HCF(3079,2268) = HCF(8426,3079) .

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Frequently Asked Questions on HCF of 8426, 3079 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 8426, 3079?

Answer: HCF of 8426, 3079 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8426, 3079 using Euclid's Algorithm?

Answer: For arbitrary numbers 8426, 3079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.