Highest Common Factor of 8063, 4683 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 8063, 4683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8063, 4683 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 8063, 4683 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 8063, 4683 is 1.

HCF(8063, 4683) = 1

HCF of 8063, 4683 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 8063, 4683 is 1.

Highest Common Factor of 8063,4683 using Euclid's algorithm

Highest Common Factor of 8063,4683 is 1

Step 1: Since 8063 > 4683, we apply the division lemma to 8063 and 4683, to get

8063 = 4683 x 1 + 3380

Step 2: Since the reminder 4683 ≠ 0, we apply division lemma to 3380 and 4683, to get

4683 = 3380 x 1 + 1303

Step 3: We consider the new divisor 3380 and the new remainder 1303, and apply the division lemma to get

3380 = 1303 x 2 + 774

We consider the new divisor 1303 and the new remainder 774,and apply the division lemma to get

1303 = 774 x 1 + 529

We consider the new divisor 774 and the new remainder 529,and apply the division lemma to get

774 = 529 x 1 + 245

We consider the new divisor 529 and the new remainder 245,and apply the division lemma to get

529 = 245 x 2 + 39

We consider the new divisor 245 and the new remainder 39,and apply the division lemma to get

245 = 39 x 6 + 11

We consider the new divisor 39 and the new remainder 11,and apply the division lemma to get

39 = 11 x 3 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8063 and 4683 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(39,11) = HCF(245,39) = HCF(529,245) = HCF(774,529) = HCF(1303,774) = HCF(3380,1303) = HCF(4683,3380) = HCF(8063,4683) .

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Frequently Asked Questions on HCF of 8063, 4683 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 8063, 4683?

Answer: HCF of 8063, 4683 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8063, 4683 using Euclid's Algorithm?

Answer: For arbitrary numbers 8063, 4683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.