Highest Common Factor of 5026, 8241 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 5026, 8241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5026, 8241 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 5026, 8241 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 5026, 8241 is 1.

HCF(5026, 8241) = 1

HCF of 5026, 8241 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 5026, 8241 is 1.

Highest Common Factor of 5026,8241 using Euclid's algorithm

Highest Common Factor of 5026,8241 is 1

Step 1: Since 8241 > 5026, we apply the division lemma to 8241 and 5026, to get

8241 = 5026 x 1 + 3215

Step 2: Since the reminder 5026 ≠ 0, we apply division lemma to 3215 and 5026, to get

5026 = 3215 x 1 + 1811

Step 3: We consider the new divisor 3215 and the new remainder 1811, and apply the division lemma to get

3215 = 1811 x 1 + 1404

We consider the new divisor 1811 and the new remainder 1404,and apply the division lemma to get

1811 = 1404 x 1 + 407

We consider the new divisor 1404 and the new remainder 407,and apply the division lemma to get

1404 = 407 x 3 + 183

We consider the new divisor 407 and the new remainder 183,and apply the division lemma to get

407 = 183 x 2 + 41

We consider the new divisor 183 and the new remainder 41,and apply the division lemma to get

183 = 41 x 4 + 19

We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get

41 = 19 x 2 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 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 5026 and 8241 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(183,41) = HCF(407,183) = HCF(1404,407) = HCF(1811,1404) = HCF(3215,1811) = HCF(5026,3215) = HCF(8241,5026) .

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Frequently Asked Questions on HCF of 5026, 8241 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 5026, 8241?

Answer: HCF of 5026, 8241 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5026, 8241 using Euclid's Algorithm?

Answer: For arbitrary numbers 5026, 8241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.