Highest Common Factor of 5003, 8146 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 5003, 8146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5003, 8146 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 5003, 8146 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 5003, 8146 is 1.

HCF(5003, 8146) = 1

HCF of 5003, 8146 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 5003, 8146 is 1.

Highest Common Factor of 5003,8146 using Euclid's algorithm

Highest Common Factor of 5003,8146 is 1

Step 1: Since 8146 > 5003, we apply the division lemma to 8146 and 5003, to get

8146 = 5003 x 1 + 3143

Step 2: Since the reminder 5003 ≠ 0, we apply division lemma to 3143 and 5003, to get

5003 = 3143 x 1 + 1860

Step 3: We consider the new divisor 3143 and the new remainder 1860, and apply the division lemma to get

3143 = 1860 x 1 + 1283

We consider the new divisor 1860 and the new remainder 1283,and apply the division lemma to get

1860 = 1283 x 1 + 577

We consider the new divisor 1283 and the new remainder 577,and apply the division lemma to get

1283 = 577 x 2 + 129

We consider the new divisor 577 and the new remainder 129,and apply the division lemma to get

577 = 129 x 4 + 61

We consider the new divisor 129 and the new remainder 61,and apply the division lemma to get

129 = 61 x 2 + 7

We consider the new divisor 61 and the new remainder 7,and apply the division lemma to get

61 = 7 x 8 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5003 and 8146 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(61,7) = HCF(129,61) = HCF(577,129) = HCF(1283,577) = HCF(1860,1283) = HCF(3143,1860) = HCF(5003,3143) = HCF(8146,5003) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5003, 8146 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 5003, 8146?

Answer: HCF of 5003, 8146 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5003, 8146 using Euclid's Algorithm?

Answer: For arbitrary numbers 5003, 8146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.