Highest Common Factor of 6094, 3583 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, 3583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6094, 3583 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, 3583 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, 3583 is 1.

HCF(6094, 3583) = 1

HCF of 6094, 3583 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, 3583 is 1.

Highest Common Factor of 6094,3583 using Euclid's algorithm

Highest Common Factor of 6094,3583 is 1

Step 1: Since 6094 > 3583, we apply the division lemma to 6094 and 3583, to get

6094 = 3583 x 1 + 2511

Step 2: Since the reminder 3583 ≠ 0, we apply division lemma to 2511 and 3583, to get

3583 = 2511 x 1 + 1072

Step 3: We consider the new divisor 2511 and the new remainder 1072, and apply the division lemma to get

2511 = 1072 x 2 + 367

We consider the new divisor 1072 and the new remainder 367,and apply the division lemma to get

1072 = 367 x 2 + 338

We consider the new divisor 367 and the new remainder 338,and apply the division lemma to get

367 = 338 x 1 + 29

We consider the new divisor 338 and the new remainder 29,and apply the division lemma to get

338 = 29 x 11 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6094 and 3583 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(338,29) = HCF(367,338) = HCF(1072,367) = HCF(2511,1072) = HCF(3583,2511) = HCF(6094,3583) .

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Frequently Asked Questions on HCF of 6094, 3583 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, 3583?

Answer: HCF of 6094, 3583 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6094, 3583 using Euclid's Algorithm?

Answer: For arbitrary numbers 6094, 3583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.