Highest Common Factor of 8034, 6109 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 8034, 6109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8034, 6109 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 8034, 6109 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 8034, 6109 is 1.

HCF(8034, 6109) = 1

HCF of 8034, 6109 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 8034, 6109 is 1.

Highest Common Factor of 8034,6109 using Euclid's algorithm

Highest Common Factor of 8034,6109 is 1

Step 1: Since 8034 > 6109, we apply the division lemma to 8034 and 6109, to get

8034 = 6109 x 1 + 1925

Step 2: Since the reminder 6109 ≠ 0, we apply division lemma to 1925 and 6109, to get

6109 = 1925 x 3 + 334

Step 3: We consider the new divisor 1925 and the new remainder 334, and apply the division lemma to get

1925 = 334 x 5 + 255

We consider the new divisor 334 and the new remainder 255,and apply the division lemma to get

334 = 255 x 1 + 79

We consider the new divisor 255 and the new remainder 79,and apply the division lemma to get

255 = 79 x 3 + 18

We consider the new divisor 79 and the new remainder 18,and apply the division lemma to get

79 = 18 x 4 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8034 and 6109 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(79,18) = HCF(255,79) = HCF(334,255) = HCF(1925,334) = HCF(6109,1925) = HCF(8034,6109) .

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Frequently Asked Questions on HCF of 8034, 6109 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 8034, 6109?

Answer: HCF of 8034, 6109 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8034, 6109 using Euclid's Algorithm?

Answer: For arbitrary numbers 8034, 6109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.