Highest Common Factor of 2644, 3859, 63909 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 2644, 3859, 63909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2644, 3859, 63909 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 2644, 3859, 63909 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 2644, 3859, 63909 is 1.

HCF(2644, 3859, 63909) = 1

HCF of 2644, 3859, 63909 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 2644, 3859, 63909 is 1.

Highest Common Factor of 2644,3859,63909 using Euclid's algorithm

Highest Common Factor of 2644,3859,63909 is 1

Step 1: Since 3859 > 2644, we apply the division lemma to 3859 and 2644, to get

3859 = 2644 x 1 + 1215

Step 2: Since the reminder 2644 ≠ 0, we apply division lemma to 1215 and 2644, to get

2644 = 1215 x 2 + 214

Step 3: We consider the new divisor 1215 and the new remainder 214, and apply the division lemma to get

1215 = 214 x 5 + 145

We consider the new divisor 214 and the new remainder 145,and apply the division lemma to get

214 = 145 x 1 + 69

We consider the new divisor 145 and the new remainder 69,and apply the division lemma to get

145 = 69 x 2 + 7

We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get

69 = 7 x 9 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2644 and 3859 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(145,69) = HCF(214,145) = HCF(1215,214) = HCF(2644,1215) = HCF(3859,2644) .

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

Step 1: Since 63909 > 1, we apply the division lemma to 63909 and 1, to get

63909 = 1 x 63909 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63909 is 1

Notice that 1 = HCF(63909,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2644, 3859, 63909 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 2644, 3859, 63909?

Answer: HCF of 2644, 3859, 63909 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2644, 3859, 63909 using Euclid's Algorithm?

Answer: For arbitrary numbers 2644, 3859, 63909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.