Highest Common Factor of 8883, 8129 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 8883, 8129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8883, 8129 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 8883, 8129 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 8883, 8129 is 1.

HCF(8883, 8129) = 1

HCF of 8883, 8129 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 8883, 8129 is 1.

Highest Common Factor of 8883,8129 using Euclid's algorithm

Highest Common Factor of 8883,8129 is 1

Step 1: Since 8883 > 8129, we apply the division lemma to 8883 and 8129, to get

8883 = 8129 x 1 + 754

Step 2: Since the reminder 8129 ≠ 0, we apply division lemma to 754 and 8129, to get

8129 = 754 x 10 + 589

Step 3: We consider the new divisor 754 and the new remainder 589, and apply the division lemma to get

754 = 589 x 1 + 165

We consider the new divisor 589 and the new remainder 165,and apply the division lemma to get

589 = 165 x 3 + 94

We consider the new divisor 165 and the new remainder 94,and apply the division lemma to get

165 = 94 x 1 + 71

We consider the new divisor 94 and the new remainder 71,and apply the division lemma to get

94 = 71 x 1 + 23

We consider the new divisor 71 and the new remainder 23,and apply the division lemma to get

71 = 23 x 3 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 8883 and 8129 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(71,23) = HCF(94,71) = HCF(165,94) = HCF(589,165) = HCF(754,589) = HCF(8129,754) = HCF(8883,8129) .

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Frequently Asked Questions on HCF of 8883, 8129 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 8883, 8129?

Answer: HCF of 8883, 8129 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8883, 8129 using Euclid's Algorithm?

Answer: For arbitrary numbers 8883, 8129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.