Highest Common Factor of 5670, 3187 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 5670, 3187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5670, 3187 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 5670, 3187 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 5670, 3187 is 1.

HCF(5670, 3187) = 1

HCF of 5670, 3187 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 5670, 3187 is 1.

Highest Common Factor of 5670,3187 using Euclid's algorithm

Highest Common Factor of 5670,3187 is 1

Step 1: Since 5670 > 3187, we apply the division lemma to 5670 and 3187, to get

5670 = 3187 x 1 + 2483

Step 2: Since the reminder 3187 ≠ 0, we apply division lemma to 2483 and 3187, to get

3187 = 2483 x 1 + 704

Step 3: We consider the new divisor 2483 and the new remainder 704, and apply the division lemma to get

2483 = 704 x 3 + 371

We consider the new divisor 704 and the new remainder 371,and apply the division lemma to get

704 = 371 x 1 + 333

We consider the new divisor 371 and the new remainder 333,and apply the division lemma to get

371 = 333 x 1 + 38

We consider the new divisor 333 and the new remainder 38,and apply the division lemma to get

333 = 38 x 8 + 29

We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get

38 = 29 x 1 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5670 and 3187 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(333,38) = HCF(371,333) = HCF(704,371) = HCF(2483,704) = HCF(3187,2483) = HCF(5670,3187) .

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Frequently Asked Questions on HCF of 5670, 3187 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 5670, 3187?

Answer: HCF of 5670, 3187 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5670, 3187 using Euclid's Algorithm?

Answer: For arbitrary numbers 5670, 3187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.