Highest Common Factor of 923, 565, 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 923, 565, 593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 923, 565, 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 923, 565, 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 923, 565, 593 is 1.

HCF(923, 565, 593) = 1

HCF of 923, 565, 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 923, 565, 593 is 1.

Highest Common Factor of 923,565,593 using Euclid's algorithm

Highest Common Factor of 923,565,593 is 1

Step 1: Since 923 > 565, we apply the division lemma to 923 and 565, to get

923 = 565 x 1 + 358

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 358 and 565, to get

565 = 358 x 1 + 207

Step 3: We consider the new divisor 358 and the new remainder 207, and apply the division lemma to get

358 = 207 x 1 + 151

We consider the new divisor 207 and the new remainder 151,and apply the division lemma to get

207 = 151 x 1 + 56

We consider the new divisor 151 and the new remainder 56,and apply the division lemma to get

151 = 56 x 2 + 39

We consider the new divisor 56 and the new remainder 39,and apply the division lemma to get

56 = 39 x 1 + 17

We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get

39 = 17 x 2 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 923 and 565 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(56,39) = HCF(151,56) = HCF(207,151) = HCF(358,207) = HCF(565,358) = HCF(923,565) .

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

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

593 = 1 x 593 + 0

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

Notice that 1 = HCF(593,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 923, 565, 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 923, 565, 593?

Answer: HCF of 923, 565, 593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 923, 565, 593 using Euclid's Algorithm?

Answer: For arbitrary numbers 923, 565, 593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.