Highest Common Factor of 558, 866, 828 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, 866, 828 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 558, 866, 828 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, 866, 828 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, 866, 828 is 2.

HCF(558, 866, 828) = 2

HCF of 558, 866, 828 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, 866, 828 is 2.

Highest Common Factor of 558,866,828 using Euclid's algorithm

Highest Common Factor of 558,866,828 is 2

Step 1: Since 866 > 558, we apply the division lemma to 866 and 558, to get

866 = 558 x 1 + 308

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 308 and 558, to get

558 = 308 x 1 + 250

Step 3: We consider the new divisor 308 and the new remainder 250, and apply the division lemma to get

308 = 250 x 1 + 58

We consider the new divisor 250 and the new remainder 58,and apply the division lemma to get

250 = 58 x 4 + 18

We consider the new divisor 58 and the new remainder 18,and apply the division lemma to get

58 = 18 x 3 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 558 and 866 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(58,18) = HCF(250,58) = HCF(308,250) = HCF(558,308) = HCF(866,558) .

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

Step 1: Since 828 > 2, we apply the division lemma to 828 and 2, to get

828 = 2 x 414 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 828 is 2

Notice that 2 = HCF(828,2) .

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Frequently Asked Questions on HCF of 558, 866, 828 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, 866, 828?

Answer: HCF of 558, 866, 828 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 558, 866, 828 using Euclid's Algorithm?

Answer: For arbitrary numbers 558, 866, 828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.