Highest Common Factor of 5983, 5230 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 5983, 5230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5983, 5230 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 5983, 5230 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 5983, 5230 is 1.

HCF(5983, 5230) = 1

HCF of 5983, 5230 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 5983, 5230 is 1.

Highest Common Factor of 5983,5230 using Euclid's algorithm

Highest Common Factor of 5983,5230 is 1

Step 1: Since 5983 > 5230, we apply the division lemma to 5983 and 5230, to get

5983 = 5230 x 1 + 753

Step 2: Since the reminder 5230 ≠ 0, we apply division lemma to 753 and 5230, to get

5230 = 753 x 6 + 712

Step 3: We consider the new divisor 753 and the new remainder 712, and apply the division lemma to get

753 = 712 x 1 + 41

We consider the new divisor 712 and the new remainder 41,and apply the division lemma to get

712 = 41 x 17 + 15

We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get

41 = 15 x 2 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5983 and 5230 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(712,41) = HCF(753,712) = HCF(5230,753) = HCF(5983,5230) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5983, 5230 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 5983, 5230?

Answer: HCF of 5983, 5230 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5983, 5230 using Euclid's Algorithm?

Answer: For arbitrary numbers 5983, 5230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.