Highest Common Factor of 682, 2008, 4387 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 682, 2008, 4387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 682, 2008, 4387 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 682, 2008, 4387 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 682, 2008, 4387 is 1.

HCF(682, 2008, 4387) = 1

HCF of 682, 2008, 4387 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 682, 2008, 4387 is 1.

Highest Common Factor of 682,2008,4387 using Euclid's algorithm

Highest Common Factor of 682,2008,4387 is 1

Step 1: Since 2008 > 682, we apply the division lemma to 2008 and 682, to get

2008 = 682 x 2 + 644

Step 2: Since the reminder 682 ≠ 0, we apply division lemma to 644 and 682, to get

682 = 644 x 1 + 38

Step 3: We consider the new divisor 644 and the new remainder 38, and apply the division lemma to get

644 = 38 x 16 + 36

We consider the new divisor 38 and the new remainder 36,and apply the division lemma to get

38 = 36 x 1 + 2

We consider the new divisor 36 and the new remainder 2,and apply the division lemma to get

36 = 2 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 682 and 2008 is 2

Notice that 2 = HCF(36,2) = HCF(38,36) = HCF(644,38) = HCF(682,644) = HCF(2008,682) .

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

Step 1: Since 4387 > 2, we apply the division lemma to 4387 and 2, to get

4387 = 2 x 2193 + 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 4387 is 1

Notice that 1 = HCF(2,1) = HCF(4387,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 682, 2008, 4387 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 682, 2008, 4387?

Answer: HCF of 682, 2008, 4387 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 682, 2008, 4387 using Euclid's Algorithm?

Answer: For arbitrary numbers 682, 2008, 4387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.