Highest Common Factor of 6028, 7611, 12079 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 6028, 7611, 12079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6028, 7611, 12079 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 6028, 7611, 12079 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 6028, 7611, 12079 is 1.

HCF(6028, 7611, 12079) = 1

HCF of 6028, 7611, 12079 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 6028, 7611, 12079 is 1.

Highest Common Factor of 6028,7611,12079 using Euclid's algorithm

Highest Common Factor of 6028,7611,12079 is 1

Step 1: Since 7611 > 6028, we apply the division lemma to 7611 and 6028, to get

7611 = 6028 x 1 + 1583

Step 2: Since the reminder 6028 ≠ 0, we apply division lemma to 1583 and 6028, to get

6028 = 1583 x 3 + 1279

Step 3: We consider the new divisor 1583 and the new remainder 1279, and apply the division lemma to get

1583 = 1279 x 1 + 304

We consider the new divisor 1279 and the new remainder 304,and apply the division lemma to get

1279 = 304 x 4 + 63

We consider the new divisor 304 and the new remainder 63,and apply the division lemma to get

304 = 63 x 4 + 52

We consider the new divisor 63 and the new remainder 52,and apply the division lemma to get

63 = 52 x 1 + 11

We consider the new divisor 52 and the new remainder 11,and apply the division lemma to get

52 = 11 x 4 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 6028 and 7611 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(52,11) = HCF(63,52) = HCF(304,63) = HCF(1279,304) = HCF(1583,1279) = HCF(6028,1583) = HCF(7611,6028) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 12079 > 1, we apply the division lemma to 12079 and 1, to get

12079 = 1 x 12079 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12079 is 1

Notice that 1 = HCF(12079,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6028, 7611, 12079 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 6028, 7611, 12079?

Answer: HCF of 6028, 7611, 12079 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6028, 7611, 12079 using Euclid's Algorithm?

Answer: For arbitrary numbers 6028, 7611, 12079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.