Highest Common Factor of 483, 799, 627 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, 799, 627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 483, 799, 627 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, 799, 627 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, 799, 627 is 1.

HCF(483, 799, 627) = 1

HCF of 483, 799, 627 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, 799, 627 is 1.

Highest Common Factor of 483,799,627 using Euclid's algorithm

Highest Common Factor of 483,799,627 is 1

Step 1: Since 799 > 483, we apply the division lemma to 799 and 483, to get

799 = 483 x 1 + 316

Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 316 and 483, to get

483 = 316 x 1 + 167

Step 3: We consider the new divisor 316 and the new remainder 167, and apply the division lemma to get

316 = 167 x 1 + 149

We consider the new divisor 167 and the new remainder 149,and apply the division lemma to get

167 = 149 x 1 + 18

We consider the new divisor 149 and the new remainder 18,and apply the division lemma to get

149 = 18 x 8 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 483 and 799 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(149,18) = HCF(167,149) = HCF(316,167) = HCF(483,316) = HCF(799,483) .

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

Step 1: Since 627 > 1, we apply the division lemma to 627 and 1, to get

627 = 1 x 627 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 627 is 1

Notice that 1 = HCF(627,1) .

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Frequently Asked Questions on HCF of 483, 799, 627 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, 799, 627?

Answer: HCF of 483, 799, 627 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 483, 799, 627 using Euclid's Algorithm?

Answer: For arbitrary numbers 483, 799, 627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.