Highest Common Factor of 558, 899, 814 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, 899, 814 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 558, 899, 814 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, 899, 814 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, 899, 814 is 1.

HCF(558, 899, 814) = 1

HCF of 558, 899, 814 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, 899, 814 is 1.

Highest Common Factor of 558,899,814 using Euclid's algorithm

Highest Common Factor of 558,899,814 is 1

Step 1: Since 899 > 558, we apply the division lemma to 899 and 558, to get

899 = 558 x 1 + 341

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 341 and 558, to get

558 = 341 x 1 + 217

Step 3: We consider the new divisor 341 and the new remainder 217, and apply the division lemma to get

341 = 217 x 1 + 124

We consider the new divisor 217 and the new remainder 124,and apply the division lemma to get

217 = 124 x 1 + 93

We consider the new divisor 124 and the new remainder 93,and apply the division lemma to get

124 = 93 x 1 + 31

We consider the new divisor 93 and the new remainder 31,and apply the division lemma to get

93 = 31 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 558 and 899 is 31

Notice that 31 = HCF(93,31) = HCF(124,93) = HCF(217,124) = HCF(341,217) = HCF(558,341) = HCF(899,558) .

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

Step 1: Since 814 > 31, we apply the division lemma to 814 and 31, to get

814 = 31 x 26 + 8

Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 8 and 31, to get

31 = 8 x 3 + 7

Step 3: We consider the new divisor 8 and the new remainder 7, and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 814 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(814,31) .

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Frequently Asked Questions on HCF of 558, 899, 814 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, 899, 814?

Answer: HCF of 558, 899, 814 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 558, 899, 814 using Euclid's Algorithm?

Answer: For arbitrary numbers 558, 899, 814 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.