Highest Common Factor of 8860, 5678 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 8860, 5678 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 8860, 5678 is 2 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 8860, 5678 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 8860, 5678 is 2.

HCF(8860, 5678) = 2

HCF of 8860, 5678 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 8860, 5678 is 2.

Highest Common Factor of 8860,5678 using Euclid's algorithm

Highest Common Factor of 8860,5678 is 2

Step 1: Since 8860 > 5678, we apply the division lemma to 8860 and 5678, to get

8860 = 5678 x 1 + 3182

Step 2: Since the reminder 5678 ≠ 0, we apply division lemma to 3182 and 5678, to get

5678 = 3182 x 1 + 2496

Step 3: We consider the new divisor 3182 and the new remainder 2496, and apply the division lemma to get

3182 = 2496 x 1 + 686

We consider the new divisor 2496 and the new remainder 686,and apply the division lemma to get

2496 = 686 x 3 + 438

We consider the new divisor 686 and the new remainder 438,and apply the division lemma to get

686 = 438 x 1 + 248

We consider the new divisor 438 and the new remainder 248,and apply the division lemma to get

438 = 248 x 1 + 190

We consider the new divisor 248 and the new remainder 190,and apply the division lemma to get

248 = 190 x 1 + 58

We consider the new divisor 190 and the new remainder 58,and apply the division lemma to get

190 = 58 x 3 + 16

We consider the new divisor 58 and the new remainder 16,and apply the division lemma to get

58 = 16 x 3 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 8860 and 5678 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(58,16) = HCF(190,58) = HCF(248,190) = HCF(438,248) = HCF(686,438) = HCF(2496,686) = HCF(3182,2496) = HCF(5678,3182) = HCF(8860,5678) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8860, 5678 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 8860, 5678?

Answer: HCF of 8860, 5678 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8860, 5678 using Euclid's Algorithm?

Answer: For arbitrary numbers 8860, 5678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.