Highest Common Factor of 593, 361, 971 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, 361, 971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 593, 361, 971 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, 361, 971 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, 361, 971 is 1.

HCF(593, 361, 971) = 1

HCF of 593, 361, 971 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, 361, 971 is 1.

Highest Common Factor of 593,361,971 using Euclid's algorithm

Highest Common Factor of 593,361,971 is 1

Step 1: Since 593 > 361, we apply the division lemma to 593 and 361, to get

593 = 361 x 1 + 232

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 232 and 361, to get

361 = 232 x 1 + 129

Step 3: We consider the new divisor 232 and the new remainder 129, and apply the division lemma to get

232 = 129 x 1 + 103

We consider the new divisor 129 and the new remainder 103,and apply the division lemma to get

129 = 103 x 1 + 26

We consider the new divisor 103 and the new remainder 26,and apply the division lemma to get

103 = 26 x 3 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 593 and 361 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(103,26) = HCF(129,103) = HCF(232,129) = HCF(361,232) = HCF(593,361) .

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

Step 1: Since 971 > 1, we apply the division lemma to 971 and 1, to get

971 = 1 x 971 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 971 is 1

Notice that 1 = HCF(971,1) .

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Frequently Asked Questions on HCF of 593, 361, 971 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, 361, 971?

Answer: HCF of 593, 361, 971 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 593, 361, 971 using Euclid's Algorithm?

Answer: For arbitrary numbers 593, 361, 971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.