Highest Common Factor of 8084, 5003 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 8084, 5003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8084, 5003 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 8084, 5003 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 8084, 5003 is 1.

HCF(8084, 5003) = 1

HCF of 8084, 5003 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 8084, 5003 is 1.

Highest Common Factor of 8084,5003 using Euclid's algorithm

Highest Common Factor of 8084,5003 is 1

Step 1: Since 8084 > 5003, we apply the division lemma to 8084 and 5003, to get

8084 = 5003 x 1 + 3081

Step 2: Since the reminder 5003 ≠ 0, we apply division lemma to 3081 and 5003, to get

5003 = 3081 x 1 + 1922

Step 3: We consider the new divisor 3081 and the new remainder 1922, and apply the division lemma to get

3081 = 1922 x 1 + 1159

We consider the new divisor 1922 and the new remainder 1159,and apply the division lemma to get

1922 = 1159 x 1 + 763

We consider the new divisor 1159 and the new remainder 763,and apply the division lemma to get

1159 = 763 x 1 + 396

We consider the new divisor 763 and the new remainder 396,and apply the division lemma to get

763 = 396 x 1 + 367

We consider the new divisor 396 and the new remainder 367,and apply the division lemma to get

396 = 367 x 1 + 29

We consider the new divisor 367 and the new remainder 29,and apply the division lemma to get

367 = 29 x 12 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8084 and 5003 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(367,29) = HCF(396,367) = HCF(763,396) = HCF(1159,763) = HCF(1922,1159) = HCF(3081,1922) = HCF(5003,3081) = HCF(8084,5003) .

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Frequently Asked Questions on HCF of 8084, 5003 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 8084, 5003?

Answer: HCF of 8084, 5003 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8084, 5003 using Euclid's Algorithm?

Answer: For arbitrary numbers 8084, 5003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.