Highest Common Factor of 857, 631, 358 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 857, 631, 358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 857, 631, 358 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 857, 631, 358 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 857, 631, 358 is 1.

HCF(857, 631, 358) = 1

HCF of 857, 631, 358 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 857, 631, 358 is 1.

Highest Common Factor of 857,631,358 using Euclid's algorithm

Highest Common Factor of 857,631,358 is 1

Step 1: Since 857 > 631, we apply the division lemma to 857 and 631, to get

857 = 631 x 1 + 226

Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 226 and 631, to get

631 = 226 x 2 + 179

Step 3: We consider the new divisor 226 and the new remainder 179, and apply the division lemma to get

226 = 179 x 1 + 47

We consider the new divisor 179 and the new remainder 47,and apply the division lemma to get

179 = 47 x 3 + 38

We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get

47 = 38 x 1 + 9

We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get

38 = 9 x 4 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 857 and 631 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(179,47) = HCF(226,179) = HCF(631,226) = HCF(857,631) .

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

Step 1: Since 358 > 1, we apply the division lemma to 358 and 1, to get

358 = 1 x 358 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 358 is 1

Notice that 1 = HCF(358,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 857, 631, 358 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 857, 631, 358?

Answer: HCF of 857, 631, 358 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 857, 631, 358 using Euclid's Algorithm?

Answer: For arbitrary numbers 857, 631, 358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.