Highest Common Factor of 912, 583, 568 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 912, 583, 568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 912, 583, 568 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 912, 583, 568 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 912, 583, 568 is 1.

HCF(912, 583, 568) = 1

HCF of 912, 583, 568 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 912, 583, 568 is 1.

Highest Common Factor of 912,583,568 using Euclid's algorithm

Highest Common Factor of 912,583,568 is 1

Step 1: Since 912 > 583, we apply the division lemma to 912 and 583, to get

912 = 583 x 1 + 329

Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 329 and 583, to get

583 = 329 x 1 + 254

Step 3: We consider the new divisor 329 and the new remainder 254, and apply the division lemma to get

329 = 254 x 1 + 75

We consider the new divisor 254 and the new remainder 75,and apply the division lemma to get

254 = 75 x 3 + 29

We consider the new divisor 75 and the new remainder 29,and apply the division lemma to get

75 = 29 x 2 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 912 and 583 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(75,29) = HCF(254,75) = HCF(329,254) = HCF(583,329) = HCF(912,583) .

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

Step 1: Since 568 > 1, we apply the division lemma to 568 and 1, to get

568 = 1 x 568 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 568 is 1

Notice that 1 = HCF(568,1) .

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Frequently Asked Questions on HCF of 912, 583, 568 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 912, 583, 568?

Answer: HCF of 912, 583, 568 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 912, 583, 568 using Euclid's Algorithm?

Answer: For arbitrary numbers 912, 583, 568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.