Highest Common Factor of 2764, 8841, 18907 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 2764, 8841, 18907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2764, 8841, 18907 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 2764, 8841, 18907 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 2764, 8841, 18907 is 1.

HCF(2764, 8841, 18907) = 1

HCF of 2764, 8841, 18907 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 2764, 8841, 18907 is 1.

Highest Common Factor of 2764,8841,18907 using Euclid's algorithm

Highest Common Factor of 2764,8841,18907 is 1

Step 1: Since 8841 > 2764, we apply the division lemma to 8841 and 2764, to get

8841 = 2764 x 3 + 549

Step 2: Since the reminder 2764 ≠ 0, we apply division lemma to 549 and 2764, to get

2764 = 549 x 5 + 19

Step 3: We consider the new divisor 549 and the new remainder 19, and apply the division lemma to get

549 = 19 x 28 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 2764 and 8841 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(549,19) = HCF(2764,549) = HCF(8841,2764) .

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

Step 1: Since 18907 > 1, we apply the division lemma to 18907 and 1, to get

18907 = 1 x 18907 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18907 is 1

Notice that 1 = HCF(18907,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2764, 8841, 18907 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 2764, 8841, 18907?

Answer: HCF of 2764, 8841, 18907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2764, 8841, 18907 using Euclid's Algorithm?

Answer: For arbitrary numbers 2764, 8841, 18907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.