Highest Common Factor of 558, 82 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, 82 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 558, 82 is 2 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, 82 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, 82 is 2.

HCF(558, 82) = 2

HCF of 558, 82 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, 82 is 2.

Highest Common Factor of 558,82 using Euclid's algorithm

Highest Common Factor of 558,82 is 2

Step 1: Since 558 > 82, we apply the division lemma to 558 and 82, to get

558 = 82 x 6 + 66

Step 2: Since the reminder 82 ≠ 0, we apply division lemma to 66 and 82, to get

82 = 66 x 1 + 16

Step 3: We consider the new divisor 66 and the new remainder 16, and apply the division lemma to get

66 = 16 x 4 + 2

We consider the new divisor 16 and the new remainder 2, and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 558 and 82 is 2

Notice that 2 = HCF(16,2) = HCF(66,16) = HCF(82,66) = HCF(558,82) .

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Frequently Asked Questions on HCF of 558, 82 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, 82?

Answer: HCF of 558, 82 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 558, 82 using Euclid's Algorithm?

Answer: For arbitrary numbers 558, 82 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.