Highest Common Factor of 6793, 5906 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 6793, 5906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6793, 5906 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 6793, 5906 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 6793, 5906 is 1.

HCF(6793, 5906) = 1

HCF of 6793, 5906 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 6793, 5906 is 1.

Highest Common Factor of 6793,5906 using Euclid's algorithm

Highest Common Factor of 6793,5906 is 1

Step 1: Since 6793 > 5906, we apply the division lemma to 6793 and 5906, to get

6793 = 5906 x 1 + 887

Step 2: Since the reminder 5906 ≠ 0, we apply division lemma to 887 and 5906, to get

5906 = 887 x 6 + 584

Step 3: We consider the new divisor 887 and the new remainder 584, and apply the division lemma to get

887 = 584 x 1 + 303

We consider the new divisor 584 and the new remainder 303,and apply the division lemma to get

584 = 303 x 1 + 281

We consider the new divisor 303 and the new remainder 281,and apply the division lemma to get

303 = 281 x 1 + 22

We consider the new divisor 281 and the new remainder 22,and apply the division lemma to get

281 = 22 x 12 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 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 6793 and 5906 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(281,22) = HCF(303,281) = HCF(584,303) = HCF(887,584) = HCF(5906,887) = HCF(6793,5906) .

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Frequently Asked Questions on HCF of 6793, 5906 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 6793, 5906?

Answer: HCF of 6793, 5906 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6793, 5906 using Euclid's Algorithm?

Answer: For arbitrary numbers 6793, 5906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.