Highest Common Factor of 4517, 8125 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 4517, 8125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4517, 8125 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 4517, 8125 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 4517, 8125 is 1.

HCF(4517, 8125) = 1

HCF of 4517, 8125 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 4517, 8125 is 1.

Highest Common Factor of 4517,8125 using Euclid's algorithm

Highest Common Factor of 4517,8125 is 1

Step 1: Since 8125 > 4517, we apply the division lemma to 8125 and 4517, to get

8125 = 4517 x 1 + 3608

Step 2: Since the reminder 4517 ≠ 0, we apply division lemma to 3608 and 4517, to get

4517 = 3608 x 1 + 909

Step 3: We consider the new divisor 3608 and the new remainder 909, and apply the division lemma to get

3608 = 909 x 3 + 881

We consider the new divisor 909 and the new remainder 881,and apply the division lemma to get

909 = 881 x 1 + 28

We consider the new divisor 881 and the new remainder 28,and apply the division lemma to get

881 = 28 x 31 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 4517 and 8125 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(881,28) = HCF(909,881) = HCF(3608,909) = HCF(4517,3608) = HCF(8125,4517) .

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Frequently Asked Questions on HCF of 4517, 8125 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 4517, 8125?

Answer: HCF of 4517, 8125 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4517, 8125 using Euclid's Algorithm?

Answer: For arbitrary numbers 4517, 8125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.