Highest Common Factor of 5529, 2467, 52393 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 5529, 2467, 52393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5529, 2467, 52393 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 5529, 2467, 52393 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 5529, 2467, 52393 is 1.

HCF(5529, 2467, 52393) = 1

HCF of 5529, 2467, 52393 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 5529, 2467, 52393 is 1.

Highest Common Factor of 5529,2467,52393 using Euclid's algorithm

Highest Common Factor of 5529,2467,52393 is 1

Step 1: Since 5529 > 2467, we apply the division lemma to 5529 and 2467, to get

5529 = 2467 x 2 + 595

Step 2: Since the reminder 2467 ≠ 0, we apply division lemma to 595 and 2467, to get

2467 = 595 x 4 + 87

Step 3: We consider the new divisor 595 and the new remainder 87, and apply the division lemma to get

595 = 87 x 6 + 73

We consider the new divisor 87 and the new remainder 73,and apply the division lemma to get

87 = 73 x 1 + 14

We consider the new divisor 73 and the new remainder 14,and apply the division lemma to get

73 = 14 x 5 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5529 and 2467 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(73,14) = HCF(87,73) = HCF(595,87) = HCF(2467,595) = HCF(5529,2467) .


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

Step 1: Since 52393 > 1, we apply the division lemma to 52393 and 1, to get

52393 = 1 x 52393 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52393 is 1

Notice that 1 = HCF(52393,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 5529, 2467, 52393 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 5529, 2467, 52393?

Answer: HCF of 5529, 2467, 52393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5529, 2467, 52393 using Euclid's Algorithm?

Answer: For arbitrary numbers 5529, 2467, 52393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.