Highest Common Factor of 4139, 6546 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 4139, 6546 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4139, 6546 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 4139, 6546 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 4139, 6546 is 1.

HCF(4139, 6546) = 1

HCF of 4139, 6546 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 4139, 6546 is 1.

Highest Common Factor of 4139,6546 using Euclid's algorithm

Highest Common Factor of 4139,6546 is 1

Step 1: Since 6546 > 4139, we apply the division lemma to 6546 and 4139, to get

6546 = 4139 x 1 + 2407

Step 2: Since the reminder 4139 ≠ 0, we apply division lemma to 2407 and 4139, to get

4139 = 2407 x 1 + 1732

Step 3: We consider the new divisor 2407 and the new remainder 1732, and apply the division lemma to get

2407 = 1732 x 1 + 675

We consider the new divisor 1732 and the new remainder 675,and apply the division lemma to get

1732 = 675 x 2 + 382

We consider the new divisor 675 and the new remainder 382,and apply the division lemma to get

675 = 382 x 1 + 293

We consider the new divisor 382 and the new remainder 293,and apply the division lemma to get

382 = 293 x 1 + 89

We consider the new divisor 293 and the new remainder 89,and apply the division lemma to get

293 = 89 x 3 + 26

We consider the new divisor 89 and the new remainder 26,and apply the division lemma to get

89 = 26 x 3 + 11

We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get

26 = 11 x 2 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 4139 and 6546 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(89,26) = HCF(293,89) = HCF(382,293) = HCF(675,382) = HCF(1732,675) = HCF(2407,1732) = HCF(4139,2407) = HCF(6546,4139) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4139, 6546 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 4139, 6546?

Answer: HCF of 4139, 6546 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4139, 6546 using Euclid's Algorithm?

Answer: For arbitrary numbers 4139, 6546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.