Highest Common Factor of 558, 895, 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 558, 895, 483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 558, 895, 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 558, 895, 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 558, 895, 483 is 1.

HCF(558, 895, 483) = 1

HCF of 558, 895, 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 558, 895, 483 is 1.

Highest Common Factor of 558,895,483 using Euclid's algorithm

Highest Common Factor of 558,895,483 is 1

Step 1: Since 895 > 558, we apply the division lemma to 895 and 558, to get

895 = 558 x 1 + 337

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 337 and 558, to get

558 = 337 x 1 + 221

Step 3: We consider the new divisor 337 and the new remainder 221, and apply the division lemma to get

337 = 221 x 1 + 116

We consider the new divisor 221 and the new remainder 116,and apply the division lemma to get

221 = 116 x 1 + 105

We consider the new divisor 116 and the new remainder 105,and apply the division lemma to get

116 = 105 x 1 + 11

We consider the new divisor 105 and the new remainder 11,and apply the division lemma to get

105 = 11 x 9 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 558 and 895 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(105,11) = HCF(116,105) = HCF(221,116) = HCF(337,221) = HCF(558,337) = HCF(895,558) .

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) .

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Frequently Asked Questions on HCF of 558, 895, 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 558, 895, 483?

Answer: HCF of 558, 895, 483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 558, 895, 483 using Euclid's Algorithm?

Answer: For arbitrary numbers 558, 895, 483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.