Highest Common Factor of 205, 593 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 205, 593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 205, 593 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 205, 593 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 205, 593 is 1.

HCF(205, 593) = 1

HCF of 205, 593 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 205, 593 is 1.

Highest Common Factor of 205,593 using Euclid's algorithm

Highest Common Factor of 205,593 is 1

Step 1: Since 593 > 205, we apply the division lemma to 593 and 205, to get

593 = 205 x 2 + 183

Step 2: Since the reminder 205 ≠ 0, we apply division lemma to 183 and 205, to get

205 = 183 x 1 + 22

Step 3: We consider the new divisor 183 and the new remainder 22, and apply the division lemma to get

183 = 22 x 8 + 7

We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get

22 = 7 x 3 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 205 and 593 is 1

Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(183,22) = HCF(205,183) = HCF(593,205) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 205, 593 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 205, 593?

Answer: HCF of 205, 593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 205, 593 using Euclid's Algorithm?

Answer: For arbitrary numbers 205, 593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.