Highest Common Factor of 8199, 5764, 87821 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 8199, 5764, 87821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8199, 5764, 87821 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 8199, 5764, 87821 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 8199, 5764, 87821 is 1.

HCF(8199, 5764, 87821) = 1

HCF of 8199, 5764, 87821 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 8199, 5764, 87821 is 1.

Highest Common Factor of 8199,5764,87821 using Euclid's algorithm

Highest Common Factor of 8199,5764,87821 is 1

Step 1: Since 8199 > 5764, we apply the division lemma to 8199 and 5764, to get

8199 = 5764 x 1 + 2435

Step 2: Since the reminder 5764 ≠ 0, we apply division lemma to 2435 and 5764, to get

5764 = 2435 x 2 + 894

Step 3: We consider the new divisor 2435 and the new remainder 894, and apply the division lemma to get

2435 = 894 x 2 + 647

We consider the new divisor 894 and the new remainder 647,and apply the division lemma to get

894 = 647 x 1 + 247

We consider the new divisor 647 and the new remainder 247,and apply the division lemma to get

647 = 247 x 2 + 153

We consider the new divisor 247 and the new remainder 153,and apply the division lemma to get

247 = 153 x 1 + 94

We consider the new divisor 153 and the new remainder 94,and apply the division lemma to get

153 = 94 x 1 + 59

We consider the new divisor 94 and the new remainder 59,and apply the division lemma to get

94 = 59 x 1 + 35

We consider the new divisor 59 and the new remainder 35,and apply the division lemma to get

59 = 35 x 1 + 24

We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get

35 = 24 x 1 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 8199 and 5764 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(59,35) = HCF(94,59) = HCF(153,94) = HCF(247,153) = HCF(647,247) = HCF(894,647) = HCF(2435,894) = HCF(5764,2435) = HCF(8199,5764) .

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

Step 1: Since 87821 > 1, we apply the division lemma to 87821 and 1, to get

87821 = 1 x 87821 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87821 is 1

Notice that 1 = HCF(87821,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8199, 5764, 87821 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 8199, 5764, 87821?

Answer: HCF of 8199, 5764, 87821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8199, 5764, 87821 using Euclid's Algorithm?

Answer: For arbitrary numbers 8199, 5764, 87821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.