Highest Common Factor of 515, 4526 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 515, 4526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 4526 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 515, 4526 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 515, 4526 is 1.

HCF(515, 4526) = 1

HCF of 515, 4526 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 515, 4526 is 1.

Highest Common Factor of 515,4526 using Euclid's algorithm

Highest Common Factor of 515,4526 is 1

Step 1: Since 4526 > 515, we apply the division lemma to 4526 and 515, to get

4526 = 515 x 8 + 406

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 406 and 515, to get

515 = 406 x 1 + 109

Step 3: We consider the new divisor 406 and the new remainder 109, and apply the division lemma to get

406 = 109 x 3 + 79

We consider the new divisor 109 and the new remainder 79,and apply the division lemma to get

109 = 79 x 1 + 30

We consider the new divisor 79 and the new remainder 30,and apply the division lemma to get

79 = 30 x 2 + 19

We consider the new divisor 30 and the new remainder 19,and apply the division lemma to get

30 = 19 x 1 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 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 515 and 4526 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(30,19) = HCF(79,30) = HCF(109,79) = HCF(406,109) = HCF(515,406) = HCF(4526,515) .

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Frequently Asked Questions on HCF of 515, 4526 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 515, 4526?

Answer: HCF of 515, 4526 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 4526 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 4526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.