Highest Common Factor of 3794, 5191 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 3794, 5191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3794, 5191 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 3794, 5191 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 3794, 5191 is 1.

HCF(3794, 5191) = 1

HCF of 3794, 5191 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3794, 5191 is 1.

Highest Common Factor of 3794,5191 using Euclid's algorithm

Highest Common Factor of 3794,5191 is 1

Step 1: Since 5191 > 3794, we apply the division lemma to 5191 and 3794, to get

5191 = 3794 x 1 + 1397

Step 2: Since the reminder 3794 ≠ 0, we apply division lemma to 1397 and 3794, to get

3794 = 1397 x 2 + 1000

Step 3: We consider the new divisor 1397 and the new remainder 1000, and apply the division lemma to get

1397 = 1000 x 1 + 397

We consider the new divisor 1000 and the new remainder 397,and apply the division lemma to get

1000 = 397 x 2 + 206

We consider the new divisor 397 and the new remainder 206,and apply the division lemma to get

397 = 206 x 1 + 191

We consider the new divisor 206 and the new remainder 191,and apply the division lemma to get

206 = 191 x 1 + 15

We consider the new divisor 191 and the new remainder 15,and apply the division lemma to get

191 = 15 x 12 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3794 and 5191 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(191,15) = HCF(206,191) = HCF(397,206) = HCF(1000,397) = HCF(1397,1000) = HCF(3794,1397) = HCF(5191,3794) .

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Frequently Asked Questions on HCF of 3794, 5191 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 3794, 5191?

Answer: HCF of 3794, 5191 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3794, 5191 using Euclid's Algorithm?

Answer: For arbitrary numbers 3794, 5191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.