Highest Common Factor of 5179, 8410 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 5179, 8410 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5179, 8410 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 5179, 8410 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 5179, 8410 is 1.

HCF(5179, 8410) = 1

HCF of 5179, 8410 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 5179, 8410 is 1.

Highest Common Factor of 5179,8410 using Euclid's algorithm

Highest Common Factor of 5179,8410 is 1

Step 1: Since 8410 > 5179, we apply the division lemma to 8410 and 5179, to get

8410 = 5179 x 1 + 3231

Step 2: Since the reminder 5179 ≠ 0, we apply division lemma to 3231 and 5179, to get

5179 = 3231 x 1 + 1948

Step 3: We consider the new divisor 3231 and the new remainder 1948, and apply the division lemma to get

3231 = 1948 x 1 + 1283

We consider the new divisor 1948 and the new remainder 1283,and apply the division lemma to get

1948 = 1283 x 1 + 665

We consider the new divisor 1283 and the new remainder 665,and apply the division lemma to get

1283 = 665 x 1 + 618

We consider the new divisor 665 and the new remainder 618,and apply the division lemma to get

665 = 618 x 1 + 47

We consider the new divisor 618 and the new remainder 47,and apply the division lemma to get

618 = 47 x 13 + 7

We consider the new divisor 47 and the new remainder 7,and apply the division lemma to get

47 = 7 x 6 + 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 5179 and 8410 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(47,7) = HCF(618,47) = HCF(665,618) = HCF(1283,665) = HCF(1948,1283) = HCF(3231,1948) = HCF(5179,3231) = HCF(8410,5179) .

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Frequently Asked Questions on HCF of 5179, 8410 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 5179, 8410?

Answer: HCF of 5179, 8410 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5179, 8410 using Euclid's Algorithm?

Answer: For arbitrary numbers 5179, 8410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.