Highest Common Factor of 2597, 9312 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 2597, 9312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2597, 9312 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 2597, 9312 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 2597, 9312 is 1.

HCF(2597, 9312) = 1

HCF of 2597, 9312 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2597, 9312 is 1.

Highest Common Factor of 2597,9312 using Euclid's algorithm

Highest Common Factor of 2597,9312 is 1

Step 1: Since 9312 > 2597, we apply the division lemma to 9312 and 2597, to get

9312 = 2597 x 3 + 1521

Step 2: Since the reminder 2597 ≠ 0, we apply division lemma to 1521 and 2597, to get

2597 = 1521 x 1 + 1076

Step 3: We consider the new divisor 1521 and the new remainder 1076, and apply the division lemma to get

1521 = 1076 x 1 + 445

We consider the new divisor 1076 and the new remainder 445,and apply the division lemma to get

1076 = 445 x 2 + 186

We consider the new divisor 445 and the new remainder 186,and apply the division lemma to get

445 = 186 x 2 + 73

We consider the new divisor 186 and the new remainder 73,and apply the division lemma to get

186 = 73 x 2 + 40

We consider the new divisor 73 and the new remainder 40,and apply the division lemma to get

73 = 40 x 1 + 33

We consider the new divisor 40 and the new remainder 33,and apply the division lemma to get

40 = 33 x 1 + 7

We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get

33 = 7 x 4 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 2597 and 9312 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(40,33) = HCF(73,40) = HCF(186,73) = HCF(445,186) = HCF(1076,445) = HCF(1521,1076) = HCF(2597,1521) = HCF(9312,2597) .

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Frequently Asked Questions on HCF of 2597, 9312 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 2597, 9312?

Answer: HCF of 2597, 9312 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2597, 9312 using Euclid's Algorithm?

Answer: For arbitrary numbers 2597, 9312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.