Highest Common Factor of 863, 592, 90 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, 592, 90 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 863, 592, 90 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, 592, 90 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, 592, 90 is 1.

HCF(863, 592, 90) = 1

HCF of 863, 592, 90 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, 592, 90 is 1.

Highest Common Factor of 863,592,90 using Euclid's algorithm

Highest Common Factor of 863,592,90 is 1

Step 1: Since 863 > 592, we apply the division lemma to 863 and 592, to get

863 = 592 x 1 + 271

Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 271 and 592, to get

592 = 271 x 2 + 50

Step 3: We consider the new divisor 271 and the new remainder 50, and apply the division lemma to get

271 = 50 x 5 + 21

We consider the new divisor 50 and the new remainder 21,and apply the division lemma to get

50 = 21 x 2 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 863 and 592 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(50,21) = HCF(271,50) = HCF(592,271) = HCF(863,592) .

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

Step 1: Since 90 > 1, we apply the division lemma to 90 and 1, to get

90 = 1 x 90 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90 is 1

Notice that 1 = HCF(90,1) .

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, 592, 90 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, 592, 90?

Answer: HCF of 863, 592, 90 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 863, 592, 90 using Euclid's Algorithm?

Answer: For arbitrary numbers 863, 592, 90 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.