Highest Common Factor of 5699, 3191 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 5699, 3191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5699, 3191 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 5699, 3191 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 5699, 3191 is 1.

HCF(5699, 3191) = 1

HCF of 5699, 3191 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 5699, 3191 is 1.

Highest Common Factor of 5699,3191 using Euclid's algorithm

Highest Common Factor of 5699,3191 is 1

Step 1: Since 5699 > 3191, we apply the division lemma to 5699 and 3191, to get

5699 = 3191 x 1 + 2508

Step 2: Since the reminder 3191 ≠ 0, we apply division lemma to 2508 and 3191, to get

3191 = 2508 x 1 + 683

Step 3: We consider the new divisor 2508 and the new remainder 683, and apply the division lemma to get

2508 = 683 x 3 + 459

We consider the new divisor 683 and the new remainder 459,and apply the division lemma to get

683 = 459 x 1 + 224

We consider the new divisor 459 and the new remainder 224,and apply the division lemma to get

459 = 224 x 2 + 11

We consider the new divisor 224 and the new remainder 11,and apply the division lemma to get

224 = 11 x 20 + 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 5699 and 3191 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(224,11) = HCF(459,224) = HCF(683,459) = HCF(2508,683) = HCF(3191,2508) = HCF(5699,3191) .

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Frequently Asked Questions on HCF of 5699, 3191 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 5699, 3191?

Answer: HCF of 5699, 3191 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5699, 3191 using Euclid's Algorithm?

Answer: For arbitrary numbers 5699, 3191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.