Highest Common Factor of 558, 887, 340 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, 887, 340 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 558, 887, 340 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, 887, 340 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, 887, 340 is 1.

HCF(558, 887, 340) = 1

HCF of 558, 887, 340 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, 887, 340 is 1.

Highest Common Factor of 558,887,340 using Euclid's algorithm

Highest Common Factor of 558,887,340 is 1

Step 1: Since 887 > 558, we apply the division lemma to 887 and 558, to get

887 = 558 x 1 + 329

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 329 and 558, to get

558 = 329 x 1 + 229

Step 3: We consider the new divisor 329 and the new remainder 229, and apply the division lemma to get

329 = 229 x 1 + 100

We consider the new divisor 229 and the new remainder 100,and apply the division lemma to get

229 = 100 x 2 + 29

We consider the new divisor 100 and the new remainder 29,and apply the division lemma to get

100 = 29 x 3 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 558 and 887 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(100,29) = HCF(229,100) = HCF(329,229) = HCF(558,329) = HCF(887,558) .

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

Step 1: Since 340 > 1, we apply the division lemma to 340 and 1, to get

340 = 1 x 340 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 340 is 1

Notice that 1 = HCF(340,1) .

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Frequently Asked Questions on HCF of 558, 887, 340 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, 887, 340?

Answer: HCF of 558, 887, 340 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 558, 887, 340 using Euclid's Algorithm?

Answer: For arbitrary numbers 558, 887, 340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.