Highest Common Factor of 2913, 4525 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 2913, 4525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2913, 4525 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 2913, 4525 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 2913, 4525 is 1.

HCF(2913, 4525) = 1

HCF of 2913, 4525 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 2913, 4525 is 1.

Highest Common Factor of 2913,4525 using Euclid's algorithm

Highest Common Factor of 2913,4525 is 1

Step 1: Since 4525 > 2913, we apply the division lemma to 4525 and 2913, to get

4525 = 2913 x 1 + 1612

Step 2: Since the reminder 2913 ≠ 0, we apply division lemma to 1612 and 2913, to get

2913 = 1612 x 1 + 1301

Step 3: We consider the new divisor 1612 and the new remainder 1301, and apply the division lemma to get

1612 = 1301 x 1 + 311

We consider the new divisor 1301 and the new remainder 311,and apply the division lemma to get

1301 = 311 x 4 + 57

We consider the new divisor 311 and the new remainder 57,and apply the division lemma to get

311 = 57 x 5 + 26

We consider the new divisor 57 and the new remainder 26,and apply the division lemma to get

57 = 26 x 2 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2913 and 4525 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(57,26) = HCF(311,57) = HCF(1301,311) = HCF(1612,1301) = HCF(2913,1612) = HCF(4525,2913) .

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Frequently Asked Questions on HCF of 2913, 4525 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 2913, 4525?

Answer: HCF of 2913, 4525 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2913, 4525 using Euclid's Algorithm?

Answer: For arbitrary numbers 2913, 4525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.