Highest Common Factor of 483, 804, 686 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 483, 804, 686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 483, 804, 686 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 483, 804, 686 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 483, 804, 686 is 1.

HCF(483, 804, 686) = 1

HCF of 483, 804, 686 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 483, 804, 686 is 1.

Highest Common Factor of 483,804,686 using Euclid's algorithm

Highest Common Factor of 483,804,686 is 1

Step 1: Since 804 > 483, we apply the division lemma to 804 and 483, to get

804 = 483 x 1 + 321

Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 321 and 483, to get

483 = 321 x 1 + 162

Step 3: We consider the new divisor 321 and the new remainder 162, and apply the division lemma to get

321 = 162 x 1 + 159

We consider the new divisor 162 and the new remainder 159,and apply the division lemma to get

162 = 159 x 1 + 3

We consider the new divisor 159 and the new remainder 3,and apply the division lemma to get

159 = 3 x 53 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 483 and 804 is 3

Notice that 3 = HCF(159,3) = HCF(162,159) = HCF(321,162) = HCF(483,321) = HCF(804,483) .

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

Step 1: Since 686 > 3, we apply the division lemma to 686 and 3, to get

686 = 3 x 228 + 2

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

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 3 and 686 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(686,3) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 483, 804, 686 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 483, 804, 686?

Answer: HCF of 483, 804, 686 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 483, 804, 686 using Euclid's Algorithm?

Answer: For arbitrary numbers 483, 804, 686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.