Highest Common Factor of 5074, 8834, 28251 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 5074, 8834, 28251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5074, 8834, 28251 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 5074, 8834, 28251 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 5074, 8834, 28251 is 1.

HCF(5074, 8834, 28251) = 1

HCF of 5074, 8834, 28251 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 5074, 8834, 28251 is 1.

Highest Common Factor of 5074,8834,28251 using Euclid's algorithm

Highest Common Factor of 5074,8834,28251 is 1

Step 1: Since 8834 > 5074, we apply the division lemma to 8834 and 5074, to get

8834 = 5074 x 1 + 3760

Step 2: Since the reminder 5074 ≠ 0, we apply division lemma to 3760 and 5074, to get

5074 = 3760 x 1 + 1314

Step 3: We consider the new divisor 3760 and the new remainder 1314, and apply the division lemma to get

3760 = 1314 x 2 + 1132

We consider the new divisor 1314 and the new remainder 1132,and apply the division lemma to get

1314 = 1132 x 1 + 182

We consider the new divisor 1132 and the new remainder 182,and apply the division lemma to get

1132 = 182 x 6 + 40

We consider the new divisor 182 and the new remainder 40,and apply the division lemma to get

182 = 40 x 4 + 22

We consider the new divisor 40 and the new remainder 22,and apply the division lemma to get

40 = 22 x 1 + 18

We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get

22 = 18 x 1 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5074 and 8834 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(40,22) = HCF(182,40) = HCF(1132,182) = HCF(1314,1132) = HCF(3760,1314) = HCF(5074,3760) = HCF(8834,5074) .

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

Step 1: Since 28251 > 2, we apply the division lemma to 28251 and 2, to get

28251 = 2 x 14125 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 28251 is 1

Notice that 1 = HCF(2,1) = HCF(28251,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5074, 8834, 28251 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 5074, 8834, 28251?

Answer: HCF of 5074, 8834, 28251 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5074, 8834, 28251 using Euclid's Algorithm?

Answer: For arbitrary numbers 5074, 8834, 28251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.