Highest Common Factor of 863, 55870 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 863, 55870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 863, 55870 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 863, 55870 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 863, 55870 is 1.

HCF(863, 55870) = 1

HCF of 863, 55870 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 863, 55870 is 1.

Highest Common Factor of 863,55870 using Euclid's algorithm

Highest Common Factor of 863,55870 is 1

Step 1: Since 55870 > 863, we apply the division lemma to 55870 and 863, to get

55870 = 863 x 64 + 638

Step 2: Since the reminder 863 ≠ 0, we apply division lemma to 638 and 863, to get

863 = 638 x 1 + 225

Step 3: We consider the new divisor 638 and the new remainder 225, and apply the division lemma to get

638 = 225 x 2 + 188

We consider the new divisor 225 and the new remainder 188,and apply the division lemma to get

225 = 188 x 1 + 37

We consider the new divisor 188 and the new remainder 37,and apply the division lemma to get

188 = 37 x 5 + 3

We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get

37 = 3 x 12 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 55870 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(188,37) = HCF(225,188) = HCF(638,225) = HCF(863,638) = HCF(55870,863) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 863, 55870 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 863, 55870?

Answer: HCF of 863, 55870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 863, 55870 using Euclid's Algorithm?

Answer: For arbitrary numbers 863, 55870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.