Highest Common Factor of 2881, 3954, 29994 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 2881, 3954, 29994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2881, 3954, 29994 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 2881, 3954, 29994 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 2881, 3954, 29994 is 1.

HCF(2881, 3954, 29994) = 1

HCF of 2881, 3954, 29994 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 2881, 3954, 29994 is 1.

Highest Common Factor of 2881,3954,29994 using Euclid's algorithm

Highest Common Factor of 2881,3954,29994 is 1

Step 1: Since 3954 > 2881, we apply the division lemma to 3954 and 2881, to get

3954 = 2881 x 1 + 1073

Step 2: Since the reminder 2881 ≠ 0, we apply division lemma to 1073 and 2881, to get

2881 = 1073 x 2 + 735

Step 3: We consider the new divisor 1073 and the new remainder 735, and apply the division lemma to get

1073 = 735 x 1 + 338

We consider the new divisor 735 and the new remainder 338,and apply the division lemma to get

735 = 338 x 2 + 59

We consider the new divisor 338 and the new remainder 59,and apply the division lemma to get

338 = 59 x 5 + 43

We consider the new divisor 59 and the new remainder 43,and apply the division lemma to get

59 = 43 x 1 + 16

We consider the new divisor 43 and the new remainder 16,and apply the division lemma to get

43 = 16 x 2 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2881 and 3954 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(43,16) = HCF(59,43) = HCF(338,59) = HCF(735,338) = HCF(1073,735) = HCF(2881,1073) = HCF(3954,2881) .

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

Step 1: Since 29994 > 1, we apply the division lemma to 29994 and 1, to get

29994 = 1 x 29994 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29994 is 1

Notice that 1 = HCF(29994,1) .

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Frequently Asked Questions on HCF of 2881, 3954, 29994 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 2881, 3954, 29994?

Answer: HCF of 2881, 3954, 29994 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2881, 3954, 29994 using Euclid's Algorithm?

Answer: For arbitrary numbers 2881, 3954, 29994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.