Highest Common Factor of 5162, 7983 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 5162, 7983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5162, 7983 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 5162, 7983 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 5162, 7983 is 1.

HCF(5162, 7983) = 1

HCF of 5162, 7983 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 5162, 7983 is 1.

Highest Common Factor of 5162,7983 using Euclid's algorithm

Highest Common Factor of 5162,7983 is 1

Step 1: Since 7983 > 5162, we apply the division lemma to 7983 and 5162, to get

7983 = 5162 x 1 + 2821

Step 2: Since the reminder 5162 ≠ 0, we apply division lemma to 2821 and 5162, to get

5162 = 2821 x 1 + 2341

Step 3: We consider the new divisor 2821 and the new remainder 2341, and apply the division lemma to get

2821 = 2341 x 1 + 480

We consider the new divisor 2341 and the new remainder 480,and apply the division lemma to get

2341 = 480 x 4 + 421

We consider the new divisor 480 and the new remainder 421,and apply the division lemma to get

480 = 421 x 1 + 59

We consider the new divisor 421 and the new remainder 59,and apply the division lemma to get

421 = 59 x 7 + 8

We consider the new divisor 59 and the new remainder 8,and apply the division lemma to get

59 = 8 x 7 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5162 and 7983 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(59,8) = HCF(421,59) = HCF(480,421) = HCF(2341,480) = HCF(2821,2341) = HCF(5162,2821) = HCF(7983,5162) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5162, 7983 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 5162, 7983?

Answer: HCF of 5162, 7983 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5162, 7983 using Euclid's Algorithm?

Answer: For arbitrary numbers 5162, 7983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.