Highest Common Factor of 5867, 3867 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 5867, 3867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5867, 3867 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 5867, 3867 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 5867, 3867 is 1.

HCF(5867, 3867) = 1

HCF of 5867, 3867 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 5867, 3867 is 1.

Highest Common Factor of 5867,3867 using Euclid's algorithm

Highest Common Factor of 5867,3867 is 1

Step 1: Since 5867 > 3867, we apply the division lemma to 5867 and 3867, to get

5867 = 3867 x 1 + 2000

Step 2: Since the reminder 3867 ≠ 0, we apply division lemma to 2000 and 3867, to get

3867 = 2000 x 1 + 1867

Step 3: We consider the new divisor 2000 and the new remainder 1867, and apply the division lemma to get

2000 = 1867 x 1 + 133

We consider the new divisor 1867 and the new remainder 133,and apply the division lemma to get

1867 = 133 x 14 + 5

We consider the new divisor 133 and the new remainder 5,and apply the division lemma to get

133 = 5 x 26 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5867 and 3867 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(133,5) = HCF(1867,133) = HCF(2000,1867) = HCF(3867,2000) = HCF(5867,3867) .

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Frequently Asked Questions on HCF of 5867, 3867 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 5867, 3867?

Answer: HCF of 5867, 3867 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5867, 3867 using Euclid's Algorithm?

Answer: For arbitrary numbers 5867, 3867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.