Highest Common Factor of 8263, 2317, 14543 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 8263, 2317, 14543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8263, 2317, 14543 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 8263, 2317, 14543 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 8263, 2317, 14543 is 1.

HCF(8263, 2317, 14543) = 1

HCF of 8263, 2317, 14543 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 8263, 2317, 14543 is 1.

Highest Common Factor of 8263,2317,14543 using Euclid's algorithm

Highest Common Factor of 8263,2317,14543 is 1

Step 1: Since 8263 > 2317, we apply the division lemma to 8263 and 2317, to get

8263 = 2317 x 3 + 1312

Step 2: Since the reminder 2317 ≠ 0, we apply division lemma to 1312 and 2317, to get

2317 = 1312 x 1 + 1005

Step 3: We consider the new divisor 1312 and the new remainder 1005, and apply the division lemma to get

1312 = 1005 x 1 + 307

We consider the new divisor 1005 and the new remainder 307,and apply the division lemma to get

1005 = 307 x 3 + 84

We consider the new divisor 307 and the new remainder 84,and apply the division lemma to get

307 = 84 x 3 + 55

We consider the new divisor 84 and the new remainder 55,and apply the division lemma to get

84 = 55 x 1 + 29

We consider the new divisor 55 and the new remainder 29,and apply the division lemma to get

55 = 29 x 1 + 26

We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get

29 = 26 x 1 + 3

We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get

26 = 3 x 8 + 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 8263 and 2317 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(55,29) = HCF(84,55) = HCF(307,84) = HCF(1005,307) = HCF(1312,1005) = HCF(2317,1312) = HCF(8263,2317) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 14543 > 1, we apply the division lemma to 14543 and 1, to get

14543 = 1 x 14543 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14543 is 1

Notice that 1 = HCF(14543,1) .

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Frequently Asked Questions on HCF of 8263, 2317, 14543 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 8263, 2317, 14543?

Answer: HCF of 8263, 2317, 14543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8263, 2317, 14543 using Euclid's Algorithm?

Answer: For arbitrary numbers 8263, 2317, 14543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.