Highest Common Factor of 5083, 7821 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 5083, 7821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5083, 7821 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 5083, 7821 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 5083, 7821 is 1.

HCF(5083, 7821) = 1

HCF of 5083, 7821 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5083, 7821 is 1.

Highest Common Factor of 5083,7821 using Euclid's algorithm

Highest Common Factor of 5083,7821 is 1

Step 1: Since 7821 > 5083, we apply the division lemma to 7821 and 5083, to get

7821 = 5083 x 1 + 2738

Step 2: Since the reminder 5083 ≠ 0, we apply division lemma to 2738 and 5083, to get

5083 = 2738 x 1 + 2345

Step 3: We consider the new divisor 2738 and the new remainder 2345, and apply the division lemma to get

2738 = 2345 x 1 + 393

We consider the new divisor 2345 and the new remainder 393,and apply the division lemma to get

2345 = 393 x 5 + 380

We consider the new divisor 393 and the new remainder 380,and apply the division lemma to get

393 = 380 x 1 + 13

We consider the new divisor 380 and the new remainder 13,and apply the division lemma to get

380 = 13 x 29 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5083 and 7821 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(380,13) = HCF(393,380) = HCF(2345,393) = HCF(2738,2345) = HCF(5083,2738) = HCF(7821,5083) .

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Frequently Asked Questions on HCF of 5083, 7821 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 5083, 7821?

Answer: HCF of 5083, 7821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5083, 7821 using Euclid's Algorithm?

Answer: For arbitrary numbers 5083, 7821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.