Highest Common Factor of 4391, 3819 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 4391, 3819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4391, 3819 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 4391, 3819 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 4391, 3819 is 1.

HCF(4391, 3819) = 1

HCF of 4391, 3819 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 4391, 3819 is 1.

Highest Common Factor of 4391,3819 using Euclid's algorithm

Highest Common Factor of 4391,3819 is 1

Step 1: Since 4391 > 3819, we apply the division lemma to 4391 and 3819, to get

4391 = 3819 x 1 + 572

Step 2: Since the reminder 3819 ≠ 0, we apply division lemma to 572 and 3819, to get

3819 = 572 x 6 + 387

Step 3: We consider the new divisor 572 and the new remainder 387, and apply the division lemma to get

572 = 387 x 1 + 185

We consider the new divisor 387 and the new remainder 185,and apply the division lemma to get

387 = 185 x 2 + 17

We consider the new divisor 185 and the new remainder 17,and apply the division lemma to get

185 = 17 x 10 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 4391 and 3819 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(185,17) = HCF(387,185) = HCF(572,387) = HCF(3819,572) = HCF(4391,3819) .

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Frequently Asked Questions on HCF of 4391, 3819 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 4391, 3819?

Answer: HCF of 4391, 3819 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4391, 3819 using Euclid's Algorithm?

Answer: For arbitrary numbers 4391, 3819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.