Highest Common Factor of 8775, 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 8775, 8129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8775, 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 8775, 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 8775, 8129 is 1.

HCF(8775, 8129) = 1

HCF of 8775, 8129 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 8775, 8129 is 1.

Highest Common Factor of 8775,8129 using Euclid's algorithm

Highest Common Factor of 8775,8129 is 1

Step 1: Since 8775 > 8129, we apply the division lemma to 8775 and 8129, to get

8775 = 8129 x 1 + 646

Step 2: Since the reminder 8129 ≠ 0, we apply division lemma to 646 and 8129, to get

8129 = 646 x 12 + 377

Step 3: We consider the new divisor 646 and the new remainder 377, and apply the division lemma to get

646 = 377 x 1 + 269

We consider the new divisor 377 and the new remainder 269,and apply the division lemma to get

377 = 269 x 1 + 108

We consider the new divisor 269 and the new remainder 108,and apply the division lemma to get

269 = 108 x 2 + 53

We consider the new divisor 108 and the new remainder 53,and apply the division lemma to get

108 = 53 x 2 + 2

We consider the new divisor 53 and the new remainder 2,and apply the division lemma to get

53 = 2 x 26 + 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 8775 and 8129 is 1

Notice that 1 = HCF(2,1) = HCF(53,2) = HCF(108,53) = HCF(269,108) = HCF(377,269) = HCF(646,377) = HCF(8129,646) = HCF(8775,8129) .

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Frequently Asked Questions on HCF of 8775, 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 8775, 8129?

Answer: HCF of 8775, 8129 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8775, 8129 using Euclid's Algorithm?

Answer: For arbitrary numbers 8775, 8129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.