Highest Common Factor of 947, 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 947, 593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 947, 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 947, 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 947, 593 is 1.

HCF(947, 593) = 1

HCF of 947, 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 947, 593 is 1.

Highest Common Factor of 947,593 using Euclid's algorithm

Highest Common Factor of 947,593 is 1

Step 1: Since 947 > 593, we apply the division lemma to 947 and 593, to get

947 = 593 x 1 + 354

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 354 and 593, to get

593 = 354 x 1 + 239

Step 3: We consider the new divisor 354 and the new remainder 239, and apply the division lemma to get

354 = 239 x 1 + 115

We consider the new divisor 239 and the new remainder 115,and apply the division lemma to get

239 = 115 x 2 + 9

We consider the new divisor 115 and the new remainder 9,and apply the division lemma to get

115 = 9 x 12 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 947 and 593 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(115,9) = HCF(239,115) = HCF(354,239) = HCF(593,354) = HCF(947,593) .

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Frequently Asked Questions on HCF of 947, 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 947, 593?

Answer: HCF of 947, 593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 947, 593 using Euclid's Algorithm?

Answer: For arbitrary numbers 947, 593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.