Highest Common Factor of 8507, 4880 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 8507, 4880 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8507, 4880 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 8507, 4880 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 8507, 4880 is 1.

HCF(8507, 4880) = 1

HCF of 8507, 4880 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 8507, 4880 is 1.

Highest Common Factor of 8507,4880 using Euclid's algorithm

Highest Common Factor of 8507,4880 is 1

Step 1: Since 8507 > 4880, we apply the division lemma to 8507 and 4880, to get

8507 = 4880 x 1 + 3627

Step 2: Since the reminder 4880 ≠ 0, we apply division lemma to 3627 and 4880, to get

4880 = 3627 x 1 + 1253

Step 3: We consider the new divisor 3627 and the new remainder 1253, and apply the division lemma to get

3627 = 1253 x 2 + 1121

We consider the new divisor 1253 and the new remainder 1121,and apply the division lemma to get

1253 = 1121 x 1 + 132

We consider the new divisor 1121 and the new remainder 132,and apply the division lemma to get

1121 = 132 x 8 + 65

We consider the new divisor 132 and the new remainder 65,and apply the division lemma to get

132 = 65 x 2 + 2

We consider the new divisor 65 and the new remainder 2,and apply the division lemma to get

65 = 2 x 32 + 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 8507 and 4880 is 1

Notice that 1 = HCF(2,1) = HCF(65,2) = HCF(132,65) = HCF(1121,132) = HCF(1253,1121) = HCF(3627,1253) = HCF(4880,3627) = HCF(8507,4880) .

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Frequently Asked Questions on HCF of 8507, 4880 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 8507, 4880?

Answer: HCF of 8507, 4880 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8507, 4880 using Euclid's Algorithm?

Answer: For arbitrary numbers 8507, 4880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.