Highest Common Factor of 515, 66718 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, 66718 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 66718 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, 66718 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, 66718 is 1.

HCF(515, 66718) = 1

HCF of 515, 66718 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, 66718 is 1.

Highest Common Factor of 515,66718 using Euclid's algorithm

Highest Common Factor of 515,66718 is 1

Step 1: Since 66718 > 515, we apply the division lemma to 66718 and 515, to get

66718 = 515 x 129 + 283

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 283 and 515, to get

515 = 283 x 1 + 232

Step 3: We consider the new divisor 283 and the new remainder 232, and apply the division lemma to get

283 = 232 x 1 + 51

We consider the new divisor 232 and the new remainder 51,and apply the division lemma to get

232 = 51 x 4 + 28

We consider the new divisor 51 and the new remainder 28,and apply the division lemma to get

51 = 28 x 1 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 66718 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(51,28) = HCF(232,51) = HCF(283,232) = HCF(515,283) = HCF(66718,515) .

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Frequently Asked Questions on HCF of 515, 66718 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, 66718?

Answer: HCF of 515, 66718 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 66718 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 66718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.