Highest Common Factor of 2729, 4876 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 2729, 4876 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2729, 4876 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 2729, 4876 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 2729, 4876 is 1.

HCF(2729, 4876) = 1

HCF of 2729, 4876 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 2729, 4876 is 1.

Highest Common Factor of 2729,4876 using Euclid's algorithm

Highest Common Factor of 2729,4876 is 1

Step 1: Since 4876 > 2729, we apply the division lemma to 4876 and 2729, to get

4876 = 2729 x 1 + 2147

Step 2: Since the reminder 2729 ≠ 0, we apply division lemma to 2147 and 2729, to get

2729 = 2147 x 1 + 582

Step 3: We consider the new divisor 2147 and the new remainder 582, and apply the division lemma to get

2147 = 582 x 3 + 401

We consider the new divisor 582 and the new remainder 401,and apply the division lemma to get

582 = 401 x 1 + 181

We consider the new divisor 401 and the new remainder 181,and apply the division lemma to get

401 = 181 x 2 + 39

We consider the new divisor 181 and the new remainder 39,and apply the division lemma to get

181 = 39 x 4 + 25

We consider the new divisor 39 and the new remainder 25,and apply the division lemma to get

39 = 25 x 1 + 14

We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get

25 = 14 x 1 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2729 and 4876 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(39,25) = HCF(181,39) = HCF(401,181) = HCF(582,401) = HCF(2147,582) = HCF(2729,2147) = HCF(4876,2729) .

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Frequently Asked Questions on HCF of 2729, 4876 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 2729, 4876?

Answer: HCF of 2729, 4876 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2729, 4876 using Euclid's Algorithm?

Answer: For arbitrary numbers 2729, 4876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.