Highest Common Factor of 8103, 8881, 54733 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 8103, 8881, 54733 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8103, 8881, 54733 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 8103, 8881, 54733 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 8103, 8881, 54733 is 1.

HCF(8103, 8881, 54733) = 1

HCF of 8103, 8881, 54733 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 8103, 8881, 54733 is 1.

Highest Common Factor of 8103,8881,54733 using Euclid's algorithm

Highest Common Factor of 8103,8881,54733 is 1

Step 1: Since 8881 > 8103, we apply the division lemma to 8881 and 8103, to get

8881 = 8103 x 1 + 778

Step 2: Since the reminder 8103 ≠ 0, we apply division lemma to 778 and 8103, to get

8103 = 778 x 10 + 323

Step 3: We consider the new divisor 778 and the new remainder 323, and apply the division lemma to get

778 = 323 x 2 + 132

We consider the new divisor 323 and the new remainder 132,and apply the division lemma to get

323 = 132 x 2 + 59

We consider the new divisor 132 and the new remainder 59,and apply the division lemma to get

132 = 59 x 2 + 14

We consider the new divisor 59 and the new remainder 14,and apply the division lemma to get

59 = 14 x 4 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 8103 and 8881 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(59,14) = HCF(132,59) = HCF(323,132) = HCF(778,323) = HCF(8103,778) = HCF(8881,8103) .

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

Step 1: Since 54733 > 1, we apply the division lemma to 54733 and 1, to get

54733 = 1 x 54733 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54733 is 1

Notice that 1 = HCF(54733,1) .

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Frequently Asked Questions on HCF of 8103, 8881, 54733 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 8103, 8881, 54733?

Answer: HCF of 8103, 8881, 54733 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8103, 8881, 54733 using Euclid's Algorithm?

Answer: For arbitrary numbers 8103, 8881, 54733 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.