Highest Common Factor of 2682, 2211, 15994 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 2682, 2211, 15994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2682, 2211, 15994 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 2682, 2211, 15994 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 2682, 2211, 15994 is 1.

HCF(2682, 2211, 15994) = 1

HCF of 2682, 2211, 15994 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 2682, 2211, 15994 is 1.

Highest Common Factor of 2682,2211,15994 using Euclid's algorithm

Highest Common Factor of 2682,2211,15994 is 1

Step 1: Since 2682 > 2211, we apply the division lemma to 2682 and 2211, to get

2682 = 2211 x 1 + 471

Step 2: Since the reminder 2211 ≠ 0, we apply division lemma to 471 and 2211, to get

2211 = 471 x 4 + 327

Step 3: We consider the new divisor 471 and the new remainder 327, and apply the division lemma to get

471 = 327 x 1 + 144

We consider the new divisor 327 and the new remainder 144,and apply the division lemma to get

327 = 144 x 2 + 39

We consider the new divisor 144 and the new remainder 39,and apply the division lemma to get

144 = 39 x 3 + 27

We consider the new divisor 39 and the new remainder 27,and apply the division lemma to get

39 = 27 x 1 + 12

We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get

27 = 12 x 2 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2682 and 2211 is 3

Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(39,27) = HCF(144,39) = HCF(327,144) = HCF(471,327) = HCF(2211,471) = HCF(2682,2211) .

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

Step 1: Since 15994 > 3, we apply the division lemma to 15994 and 3, to get

15994 = 3 x 5331 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 15994 is 1

Notice that 1 = HCF(3,1) = HCF(15994,3) .

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Frequently Asked Questions on HCF of 2682, 2211, 15994 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 2682, 2211, 15994?

Answer: HCF of 2682, 2211, 15994 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2682, 2211, 15994 using Euclid's Algorithm?

Answer: For arbitrary numbers 2682, 2211, 15994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.