Highest Common Factor of 6094, 8839 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 6094, 8839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6094, 8839 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 6094, 8839 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 6094, 8839 is 1.

HCF(6094, 8839) = 1

HCF of 6094, 8839 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 6094, 8839 is 1.

Highest Common Factor of 6094,8839 using Euclid's algorithm

Highest Common Factor of 6094,8839 is 1

Step 1: Since 8839 > 6094, we apply the division lemma to 8839 and 6094, to get

8839 = 6094 x 1 + 2745

Step 2: Since the reminder 6094 ≠ 0, we apply division lemma to 2745 and 6094, to get

6094 = 2745 x 2 + 604

Step 3: We consider the new divisor 2745 and the new remainder 604, and apply the division lemma to get

2745 = 604 x 4 + 329

We consider the new divisor 604 and the new remainder 329,and apply the division lemma to get

604 = 329 x 1 + 275

We consider the new divisor 329 and the new remainder 275,and apply the division lemma to get

329 = 275 x 1 + 54

We consider the new divisor 275 and the new remainder 54,and apply the division lemma to get

275 = 54 x 5 + 5

We consider the new divisor 54 and the new remainder 5,and apply the division lemma to get

54 = 5 x 10 + 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 6094 and 8839 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(54,5) = HCF(275,54) = HCF(329,275) = HCF(604,329) = HCF(2745,604) = HCF(6094,2745) = HCF(8839,6094) .

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Frequently Asked Questions on HCF of 6094, 8839 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 6094, 8839?

Answer: HCF of 6094, 8839 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6094, 8839 using Euclid's Algorithm?

Answer: For arbitrary numbers 6094, 8839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.