Highest Common Factor of 8517, 3010 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 8517, 3010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8517, 3010 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 8517, 3010 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 8517, 3010 is 1.

HCF(8517, 3010) = 1

HCF of 8517, 3010 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 8517, 3010 is 1.

Highest Common Factor of 8517,3010 using Euclid's algorithm

Highest Common Factor of 8517,3010 is 1

Step 1: Since 8517 > 3010, we apply the division lemma to 8517 and 3010, to get

8517 = 3010 x 2 + 2497

Step 2: Since the reminder 3010 ≠ 0, we apply division lemma to 2497 and 3010, to get

3010 = 2497 x 1 + 513

Step 3: We consider the new divisor 2497 and the new remainder 513, and apply the division lemma to get

2497 = 513 x 4 + 445

We consider the new divisor 513 and the new remainder 445,and apply the division lemma to get

513 = 445 x 1 + 68

We consider the new divisor 445 and the new remainder 68,and apply the division lemma to get

445 = 68 x 6 + 37

We consider the new divisor 68 and the new remainder 37,and apply the division lemma to get

68 = 37 x 1 + 31

We consider the new divisor 37 and the new remainder 31,and apply the division lemma to get

37 = 31 x 1 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8517 and 3010 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(37,31) = HCF(68,37) = HCF(445,68) = HCF(513,445) = HCF(2497,513) = HCF(3010,2497) = HCF(8517,3010) .

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Frequently Asked Questions on HCF of 8517, 3010 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 8517, 3010?

Answer: HCF of 8517, 3010 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8517, 3010 using Euclid's Algorithm?

Answer: For arbitrary numbers 8517, 3010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.