Highest Common Factor of 803, 485, 483 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 803, 485, 483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 803, 485, 483 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 803, 485, 483 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 803, 485, 483 is 1.

HCF(803, 485, 483) = 1

HCF of 803, 485, 483 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 803, 485, 483 is 1.

Highest Common Factor of 803,485,483 using Euclid's algorithm

Highest Common Factor of 803,485,483 is 1

Step 1: Since 803 > 485, we apply the division lemma to 803 and 485, to get

803 = 485 x 1 + 318

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 318 and 485, to get

485 = 318 x 1 + 167

Step 3: We consider the new divisor 318 and the new remainder 167, and apply the division lemma to get

318 = 167 x 1 + 151

We consider the new divisor 167 and the new remainder 151,and apply the division lemma to get

167 = 151 x 1 + 16

We consider the new divisor 151 and the new remainder 16,and apply the division lemma to get

151 = 16 x 9 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

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 803 and 485 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(151,16) = HCF(167,151) = HCF(318,167) = HCF(485,318) = HCF(803,485) .

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

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

483 = 1 x 483 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 483 is 1

Notice that 1 = HCF(483,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 803, 485, 483 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 803, 485, 483?

Answer: HCF of 803, 485, 483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 803, 485, 483 using Euclid's Algorithm?

Answer: For arbitrary numbers 803, 485, 483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.