Highest Common Factor of 8109, 5683, 81783 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 8109, 5683, 81783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8109, 5683, 81783 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 8109, 5683, 81783 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 8109, 5683, 81783 is 1.

HCF(8109, 5683, 81783) = 1

HCF of 8109, 5683, 81783 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 8109, 5683, 81783 is 1.

Highest Common Factor of 8109,5683,81783 using Euclid's algorithm

Highest Common Factor of 8109,5683,81783 is 1

Step 1: Since 8109 > 5683, we apply the division lemma to 8109 and 5683, to get

8109 = 5683 x 1 + 2426

Step 2: Since the reminder 5683 ≠ 0, we apply division lemma to 2426 and 5683, to get

5683 = 2426 x 2 + 831

Step 3: We consider the new divisor 2426 and the new remainder 831, and apply the division lemma to get

2426 = 831 x 2 + 764

We consider the new divisor 831 and the new remainder 764,and apply the division lemma to get

831 = 764 x 1 + 67

We consider the new divisor 764 and the new remainder 67,and apply the division lemma to get

764 = 67 x 11 + 27

We consider the new divisor 67 and the new remainder 27,and apply the division lemma to get

67 = 27 x 2 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8109 and 5683 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(67,27) = HCF(764,67) = HCF(831,764) = HCF(2426,831) = HCF(5683,2426) = HCF(8109,5683) .

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

Step 1: Since 81783 > 1, we apply the division lemma to 81783 and 1, to get

81783 = 1 x 81783 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81783 is 1

Notice that 1 = HCF(81783,1) .

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Frequently Asked Questions on HCF of 8109, 5683, 81783 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 8109, 5683, 81783?

Answer: HCF of 8109, 5683, 81783 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8109, 5683, 81783 using Euclid's Algorithm?

Answer: For arbitrary numbers 8109, 5683, 81783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.