Highest Common Factor of 2657, 8873, 63903 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 2657, 8873, 63903 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2657, 8873, 63903 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 2657, 8873, 63903 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 2657, 8873, 63903 is 1.

HCF(2657, 8873, 63903) = 1

HCF of 2657, 8873, 63903 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 2657, 8873, 63903 is 1.

Highest Common Factor of 2657,8873,63903 using Euclid's algorithm

Highest Common Factor of 2657,8873,63903 is 1

Step 1: Since 8873 > 2657, we apply the division lemma to 8873 and 2657, to get

8873 = 2657 x 3 + 902

Step 2: Since the reminder 2657 ≠ 0, we apply division lemma to 902 and 2657, to get

2657 = 902 x 2 + 853

Step 3: We consider the new divisor 902 and the new remainder 853, and apply the division lemma to get

902 = 853 x 1 + 49

We consider the new divisor 853 and the new remainder 49,and apply the division lemma to get

853 = 49 x 17 + 20

We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get

49 = 20 x 2 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 2657 and 8873 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(853,49) = HCF(902,853) = HCF(2657,902) = HCF(8873,2657) .

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

Step 1: Since 63903 > 1, we apply the division lemma to 63903 and 1, to get

63903 = 1 x 63903 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63903 is 1

Notice that 1 = HCF(63903,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2657, 8873, 63903 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 2657, 8873, 63903?

Answer: HCF of 2657, 8873, 63903 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2657, 8873, 63903 using Euclid's Algorithm?

Answer: For arbitrary numbers 2657, 8873, 63903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.