Highest Common Factor of 6846, 5057 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 6846, 5057 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6846, 5057 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 6846, 5057 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 6846, 5057 is 1.

HCF(6846, 5057) = 1

HCF of 6846, 5057 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 6846, 5057 is 1.

Highest Common Factor of 6846,5057 using Euclid's algorithm

Highest Common Factor of 6846,5057 is 1

Step 1: Since 6846 > 5057, we apply the division lemma to 6846 and 5057, to get

6846 = 5057 x 1 + 1789

Step 2: Since the reminder 5057 ≠ 0, we apply division lemma to 1789 and 5057, to get

5057 = 1789 x 2 + 1479

Step 3: We consider the new divisor 1789 and the new remainder 1479, and apply the division lemma to get

1789 = 1479 x 1 + 310

We consider the new divisor 1479 and the new remainder 310,and apply the division lemma to get

1479 = 310 x 4 + 239

We consider the new divisor 310 and the new remainder 239,and apply the division lemma to get

310 = 239 x 1 + 71

We consider the new divisor 239 and the new remainder 71,and apply the division lemma to get

239 = 71 x 3 + 26

We consider the new divisor 71 and the new remainder 26,and apply the division lemma to get

71 = 26 x 2 + 19

We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get

26 = 19 x 1 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 6846 and 5057 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(71,26) = HCF(239,71) = HCF(310,239) = HCF(1479,310) = HCF(1789,1479) = HCF(5057,1789) = HCF(6846,5057) .

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Frequently Asked Questions on HCF of 6846, 5057 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 6846, 5057?

Answer: HCF of 6846, 5057 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6846, 5057 using Euclid's Algorithm?

Answer: For arbitrary numbers 6846, 5057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.