Highest Common Factor of 593, 908, 230 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 593, 908, 230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 593, 908, 230 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 593, 908, 230 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 593, 908, 230 is 1.

HCF(593, 908, 230) = 1

HCF of 593, 908, 230 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 593, 908, 230 is 1.

Highest Common Factor of 593,908,230 using Euclid's algorithm

Highest Common Factor of 593,908,230 is 1

Step 1: Since 908 > 593, we apply the division lemma to 908 and 593, to get

908 = 593 x 1 + 315

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 315 and 593, to get

593 = 315 x 1 + 278

Step 3: We consider the new divisor 315 and the new remainder 278, and apply the division lemma to get

315 = 278 x 1 + 37

We consider the new divisor 278 and the new remainder 37,and apply the division lemma to get

278 = 37 x 7 + 19

We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get

37 = 19 x 1 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 593 and 908 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(278,37) = HCF(315,278) = HCF(593,315) = HCF(908,593) .

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

Step 1: Since 230 > 1, we apply the division lemma to 230 and 1, to get

230 = 1 x 230 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 230 is 1

Notice that 1 = HCF(230,1) .

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Frequently Asked Questions on HCF of 593, 908, 230 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 593, 908, 230?

Answer: HCF of 593, 908, 230 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 593, 908, 230 using Euclid's Algorithm?

Answer: For arbitrary numbers 593, 908, 230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.