Highest Common Factor of 8082, 3376, 47981 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 8082, 3376, 47981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8082, 3376, 47981 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 8082, 3376, 47981 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 8082, 3376, 47981 is 1.

HCF(8082, 3376, 47981) = 1

HCF of 8082, 3376, 47981 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 8082, 3376, 47981 is 1.

Highest Common Factor of 8082,3376,47981 using Euclid's algorithm

Highest Common Factor of 8082,3376,47981 is 1

Step 1: Since 8082 > 3376, we apply the division lemma to 8082 and 3376, to get

8082 = 3376 x 2 + 1330

Step 2: Since the reminder 3376 ≠ 0, we apply division lemma to 1330 and 3376, to get

3376 = 1330 x 2 + 716

Step 3: We consider the new divisor 1330 and the new remainder 716, and apply the division lemma to get

1330 = 716 x 1 + 614

We consider the new divisor 716 and the new remainder 614,and apply the division lemma to get

716 = 614 x 1 + 102

We consider the new divisor 614 and the new remainder 102,and apply the division lemma to get

614 = 102 x 6 + 2

We consider the new divisor 102 and the new remainder 2,and apply the division lemma to get

102 = 2 x 51 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8082 and 3376 is 2

Notice that 2 = HCF(102,2) = HCF(614,102) = HCF(716,614) = HCF(1330,716) = HCF(3376,1330) = HCF(8082,3376) .

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

Step 1: Since 47981 > 2, we apply the division lemma to 47981 and 2, to get

47981 = 2 x 23990 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 47981 is 1

Notice that 1 = HCF(2,1) = HCF(47981,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8082, 3376, 47981 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 8082, 3376, 47981?

Answer: HCF of 8082, 3376, 47981 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8082, 3376, 47981 using Euclid's Algorithm?

Answer: For arbitrary numbers 8082, 3376, 47981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.