Highest Common Factor of 2466, 5863 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 2466, 5863 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2466, 5863 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 2466, 5863 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 2466, 5863 is 1.

HCF(2466, 5863) = 1

HCF of 2466, 5863 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 2466, 5863 is 1.

Highest Common Factor of 2466,5863 using Euclid's algorithm

Highest Common Factor of 2466,5863 is 1

Step 1: Since 5863 > 2466, we apply the division lemma to 5863 and 2466, to get

5863 = 2466 x 2 + 931

Step 2: Since the reminder 2466 ≠ 0, we apply division lemma to 931 and 2466, to get

2466 = 931 x 2 + 604

Step 3: We consider the new divisor 931 and the new remainder 604, and apply the division lemma to get

931 = 604 x 1 + 327

We consider the new divisor 604 and the new remainder 327,and apply the division lemma to get

604 = 327 x 1 + 277

We consider the new divisor 327 and the new remainder 277,and apply the division lemma to get

327 = 277 x 1 + 50

We consider the new divisor 277 and the new remainder 50,and apply the division lemma to get

277 = 50 x 5 + 27

We consider the new divisor 50 and the new remainder 27,and apply the division lemma to get

50 = 27 x 1 + 23

We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get

27 = 23 x 1 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2466 and 5863 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(50,27) = HCF(277,50) = HCF(327,277) = HCF(604,327) = HCF(931,604) = HCF(2466,931) = HCF(5863,2466) .

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Frequently Asked Questions on HCF of 2466, 5863 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 2466, 5863?

Answer: HCF of 2466, 5863 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2466, 5863 using Euclid's Algorithm?

Answer: For arbitrary numbers 2466, 5863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.