Highest Common Factor of 6857, 2453 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 6857, 2453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6857, 2453 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 6857, 2453 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 6857, 2453 is 1.

HCF(6857, 2453) = 1

HCF of 6857, 2453 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 6857, 2453 is 1.

Highest Common Factor of 6857,2453 using Euclid's algorithm

Highest Common Factor of 6857,2453 is 1

Step 1: Since 6857 > 2453, we apply the division lemma to 6857 and 2453, to get

6857 = 2453 x 2 + 1951

Step 2: Since the reminder 2453 ≠ 0, we apply division lemma to 1951 and 2453, to get

2453 = 1951 x 1 + 502

Step 3: We consider the new divisor 1951 and the new remainder 502, and apply the division lemma to get

1951 = 502 x 3 + 445

We consider the new divisor 502 and the new remainder 445,and apply the division lemma to get

502 = 445 x 1 + 57

We consider the new divisor 445 and the new remainder 57,and apply the division lemma to get

445 = 57 x 7 + 46

We consider the new divisor 57 and the new remainder 46,and apply the division lemma to get

57 = 46 x 1 + 11

We consider the new divisor 46 and the new remainder 11,and apply the division lemma to get

46 = 11 x 4 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 6857 and 2453 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(46,11) = HCF(57,46) = HCF(445,57) = HCF(502,445) = HCF(1951,502) = HCF(2453,1951) = HCF(6857,2453) .

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Frequently Asked Questions on HCF of 6857, 2453 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 6857, 2453?

Answer: HCF of 6857, 2453 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6857, 2453 using Euclid's Algorithm?

Answer: For arbitrary numbers 6857, 2453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.