Highest Common Factor of 4879, 2603 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 4879, 2603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4879, 2603 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 4879, 2603 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 4879, 2603 is 1.

HCF(4879, 2603) = 1

HCF of 4879, 2603 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 4879, 2603 is 1.

Highest Common Factor of 4879,2603 using Euclid's algorithm

Highest Common Factor of 4879,2603 is 1

Step 1: Since 4879 > 2603, we apply the division lemma to 4879 and 2603, to get

4879 = 2603 x 1 + 2276

Step 2: Since the reminder 2603 ≠ 0, we apply division lemma to 2276 and 2603, to get

2603 = 2276 x 1 + 327

Step 3: We consider the new divisor 2276 and the new remainder 327, and apply the division lemma to get

2276 = 327 x 6 + 314

We consider the new divisor 327 and the new remainder 314,and apply the division lemma to get

327 = 314 x 1 + 13

We consider the new divisor 314 and the new remainder 13,and apply the division lemma to get

314 = 13 x 24 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 4879 and 2603 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(314,13) = HCF(327,314) = HCF(2276,327) = HCF(2603,2276) = HCF(4879,2603) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4879, 2603 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 4879, 2603?

Answer: HCF of 4879, 2603 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4879, 2603 using Euclid's Algorithm?

Answer: For arbitrary numbers 4879, 2603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.