Highest Common Factor of 3083, 5168 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 3083, 5168 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3083, 5168 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 3083, 5168 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 3083, 5168 is 1.

HCF(3083, 5168) = 1

HCF of 3083, 5168 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 3083, 5168 is 1.

Highest Common Factor of 3083,5168 using Euclid's algorithm

Highest Common Factor of 3083,5168 is 1

Step 1: Since 5168 > 3083, we apply the division lemma to 5168 and 3083, to get

5168 = 3083 x 1 + 2085

Step 2: Since the reminder 3083 ≠ 0, we apply division lemma to 2085 and 3083, to get

3083 = 2085 x 1 + 998

Step 3: We consider the new divisor 2085 and the new remainder 998, and apply the division lemma to get

2085 = 998 x 2 + 89

We consider the new divisor 998 and the new remainder 89,and apply the division lemma to get

998 = 89 x 11 + 19

We consider the new divisor 89 and the new remainder 19,and apply the division lemma to get

89 = 19 x 4 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3083 and 5168 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(89,19) = HCF(998,89) = HCF(2085,998) = HCF(3083,2085) = HCF(5168,3083) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3083, 5168 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 3083, 5168?

Answer: HCF of 3083, 5168 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3083, 5168 using Euclid's Algorithm?

Answer: For arbitrary numbers 3083, 5168 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.