Highest Common Factor of 3228, 2601 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 3228, 2601 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 3228, 2601 is 3 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 3228, 2601 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 3228, 2601 is 3.

HCF(3228, 2601) = 3

HCF of 3228, 2601 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 3228, 2601 is 3.

Highest Common Factor of 3228,2601 using Euclid's algorithm

Highest Common Factor of 3228,2601 is 3

Step 1: Since 3228 > 2601, we apply the division lemma to 3228 and 2601, to get

3228 = 2601 x 1 + 627

Step 2: Since the reminder 2601 ≠ 0, we apply division lemma to 627 and 2601, to get

2601 = 627 x 4 + 93

Step 3: We consider the new divisor 627 and the new remainder 93, and apply the division lemma to get

627 = 93 x 6 + 69

We consider the new divisor 93 and the new remainder 69,and apply the division lemma to get

93 = 69 x 1 + 24

We consider the new divisor 69 and the new remainder 24,and apply the division lemma to get

69 = 24 x 2 + 21

We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get

24 = 21 x 1 + 3

We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get

21 = 3 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3228 and 2601 is 3

Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(69,24) = HCF(93,69) = HCF(627,93) = HCF(2601,627) = HCF(3228,2601) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3228, 2601 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 3228, 2601?

Answer: HCF of 3228, 2601 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3228, 2601 using Euclid's Algorithm?

Answer: For arbitrary numbers 3228, 2601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.