Highest Common Factor of 630, 857 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 630, 857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 630, 857 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 630, 857 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 630, 857 is 1.

HCF(630, 857) = 1

HCF of 630, 857 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 630, 857 is 1.

Highest Common Factor of 630,857 using Euclid's algorithm

Highest Common Factor of 630,857 is 1

Step 1: Since 857 > 630, we apply the division lemma to 857 and 630, to get

857 = 630 x 1 + 227

Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 227 and 630, to get

630 = 227 x 2 + 176

Step 3: We consider the new divisor 227 and the new remainder 176, and apply the division lemma to get

227 = 176 x 1 + 51

We consider the new divisor 176 and the new remainder 51,and apply the division lemma to get

176 = 51 x 3 + 23

We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get

51 = 23 x 2 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 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 630 and 857 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(176,51) = HCF(227,176) = HCF(630,227) = HCF(857,630) .

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Frequently Asked Questions on HCF of 630, 857 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 630, 857?

Answer: HCF of 630, 857 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 630, 857 using Euclid's Algorithm?

Answer: For arbitrary numbers 630, 857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.