Highest Common Factor of 5218, 7259 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 5218, 7259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5218, 7259 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 5218, 7259 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 5218, 7259 is 1.

HCF(5218, 7259) = 1

HCF of 5218, 7259 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 5218, 7259 is 1.

Highest Common Factor of 5218,7259 using Euclid's algorithm

Highest Common Factor of 5218,7259 is 1

Step 1: Since 7259 > 5218, we apply the division lemma to 7259 and 5218, to get

7259 = 5218 x 1 + 2041

Step 2: Since the reminder 5218 ≠ 0, we apply division lemma to 2041 and 5218, to get

5218 = 2041 x 2 + 1136

Step 3: We consider the new divisor 2041 and the new remainder 1136, and apply the division lemma to get

2041 = 1136 x 1 + 905

We consider the new divisor 1136 and the new remainder 905,and apply the division lemma to get

1136 = 905 x 1 + 231

We consider the new divisor 905 and the new remainder 231,and apply the division lemma to get

905 = 231 x 3 + 212

We consider the new divisor 231 and the new remainder 212,and apply the division lemma to get

231 = 212 x 1 + 19

We consider the new divisor 212 and the new remainder 19,and apply the division lemma to get

212 = 19 x 11 + 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 5218 and 7259 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(212,19) = HCF(231,212) = HCF(905,231) = HCF(1136,905) = HCF(2041,1136) = HCF(5218,2041) = HCF(7259,5218) .

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Frequently Asked Questions on HCF of 5218, 7259 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 5218, 7259?

Answer: HCF of 5218, 7259 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5218, 7259 using Euclid's Algorithm?

Answer: For arbitrary numbers 5218, 7259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.