Highest Common Factor of 2627, 1511, 96309 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 2627, 1511, 96309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2627, 1511, 96309 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 2627, 1511, 96309 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 2627, 1511, 96309 is 1.

HCF(2627, 1511, 96309) = 1

HCF of 2627, 1511, 96309 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 2627, 1511, 96309 is 1.

Highest Common Factor of 2627,1511,96309 using Euclid's algorithm

Highest Common Factor of 2627,1511,96309 is 1

Step 1: Since 2627 > 1511, we apply the division lemma to 2627 and 1511, to get

2627 = 1511 x 1 + 1116

Step 2: Since the reminder 1511 ≠ 0, we apply division lemma to 1116 and 1511, to get

1511 = 1116 x 1 + 395

Step 3: We consider the new divisor 1116 and the new remainder 395, and apply the division lemma to get

1116 = 395 x 2 + 326

We consider the new divisor 395 and the new remainder 326,and apply the division lemma to get

395 = 326 x 1 + 69

We consider the new divisor 326 and the new remainder 69,and apply the division lemma to get

326 = 69 x 4 + 50

We consider the new divisor 69 and the new remainder 50,and apply the division lemma to get

69 = 50 x 1 + 19

We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get

50 = 19 x 2 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2627 and 1511 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(69,50) = HCF(326,69) = HCF(395,326) = HCF(1116,395) = HCF(1511,1116) = HCF(2627,1511) .

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

Step 1: Since 96309 > 1, we apply the division lemma to 96309 and 1, to get

96309 = 1 x 96309 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96309 is 1

Notice that 1 = HCF(96309,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2627, 1511, 96309 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 2627, 1511, 96309?

Answer: HCF of 2627, 1511, 96309 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2627, 1511, 96309 using Euclid's Algorithm?

Answer: For arbitrary numbers 2627, 1511, 96309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.