Highest Common Factor of 3803, 4631 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 3803, 4631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3803, 4631 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 3803, 4631 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 3803, 4631 is 1.

HCF(3803, 4631) = 1

HCF of 3803, 4631 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 3803, 4631 is 1.

Highest Common Factor of 3803,4631 using Euclid's algorithm

Highest Common Factor of 3803,4631 is 1

Step 1: Since 4631 > 3803, we apply the division lemma to 4631 and 3803, to get

4631 = 3803 x 1 + 828

Step 2: Since the reminder 3803 ≠ 0, we apply division lemma to 828 and 3803, to get

3803 = 828 x 4 + 491

Step 3: We consider the new divisor 828 and the new remainder 491, and apply the division lemma to get

828 = 491 x 1 + 337

We consider the new divisor 491 and the new remainder 337,and apply the division lemma to get

491 = 337 x 1 + 154

We consider the new divisor 337 and the new remainder 154,and apply the division lemma to get

337 = 154 x 2 + 29

We consider the new divisor 154 and the new remainder 29,and apply the division lemma to get

154 = 29 x 5 + 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 3803 and 4631 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(154,29) = HCF(337,154) = HCF(491,337) = HCF(828,491) = HCF(3803,828) = HCF(4631,3803) .

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Frequently Asked Questions on HCF of 3803, 4631 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 3803, 4631?

Answer: HCF of 3803, 4631 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3803, 4631 using Euclid's Algorithm?

Answer: For arbitrary numbers 3803, 4631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.