Highest Common Factor of 6289, 2382, 81855 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 6289, 2382, 81855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6289, 2382, 81855 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 6289, 2382, 81855 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 6289, 2382, 81855 is 1.

HCF(6289, 2382, 81855) = 1

HCF of 6289, 2382, 81855 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 6289, 2382, 81855 is 1.

Highest Common Factor of 6289,2382,81855 using Euclid's algorithm

Highest Common Factor of 6289,2382,81855 is 1

Step 1: Since 6289 > 2382, we apply the division lemma to 6289 and 2382, to get

6289 = 2382 x 2 + 1525

Step 2: Since the reminder 2382 ≠ 0, we apply division lemma to 1525 and 2382, to get

2382 = 1525 x 1 + 857

Step 3: We consider the new divisor 1525 and the new remainder 857, and apply the division lemma to get

1525 = 857 x 1 + 668

We consider the new divisor 857 and the new remainder 668,and apply the division lemma to get

857 = 668 x 1 + 189

We consider the new divisor 668 and the new remainder 189,and apply the division lemma to get

668 = 189 x 3 + 101

We consider the new divisor 189 and the new remainder 101,and apply the division lemma to get

189 = 101 x 1 + 88

We consider the new divisor 101 and the new remainder 88,and apply the division lemma to get

101 = 88 x 1 + 13

We consider the new divisor 88 and the new remainder 13,and apply the division lemma to get

88 = 13 x 6 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 6289 and 2382 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(88,13) = HCF(101,88) = HCF(189,101) = HCF(668,189) = HCF(857,668) = HCF(1525,857) = HCF(2382,1525) = HCF(6289,2382) .

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

Step 1: Since 81855 > 1, we apply the division lemma to 81855 and 1, to get

81855 = 1 x 81855 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81855 is 1

Notice that 1 = HCF(81855,1) .

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Frequently Asked Questions on HCF of 6289, 2382, 81855 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 6289, 2382, 81855?

Answer: HCF of 6289, 2382, 81855 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6289, 2382, 81855 using Euclid's Algorithm?

Answer: For arbitrary numbers 6289, 2382, 81855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.