Highest Common Factor of 967, 597 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 967, 597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 967, 597 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 967, 597 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 967, 597 is 1.

HCF(967, 597) = 1

HCF of 967, 597 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 967, 597 is 1.

Highest Common Factor of 967,597 using Euclid's algorithm

Highest Common Factor of 967,597 is 1

Step 1: Since 967 > 597, we apply the division lemma to 967 and 597, to get

967 = 597 x 1 + 370

Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 370 and 597, to get

597 = 370 x 1 + 227

Step 3: We consider the new divisor 370 and the new remainder 227, and apply the division lemma to get

370 = 227 x 1 + 143

We consider the new divisor 227 and the new remainder 143,and apply the division lemma to get

227 = 143 x 1 + 84

We consider the new divisor 143 and the new remainder 84,and apply the division lemma to get

143 = 84 x 1 + 59

We consider the new divisor 84 and the new remainder 59,and apply the division lemma to get

84 = 59 x 1 + 25

We consider the new divisor 59 and the new remainder 25,and apply the division lemma to get

59 = 25 x 2 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 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 967 and 597 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(59,25) = HCF(84,59) = HCF(143,84) = HCF(227,143) = HCF(370,227) = HCF(597,370) = HCF(967,597) .

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Frequently Asked Questions on HCF of 967, 597 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 967, 597?

Answer: HCF of 967, 597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 967, 597 using Euclid's Algorithm?

Answer: For arbitrary numbers 967, 597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.