Highest Common Factor of 568, 882, 554 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 568, 882, 554 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 568, 882, 554 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 568, 882, 554 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 568, 882, 554 is 2.

HCF(568, 882, 554) = 2

HCF of 568, 882, 554 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 568, 882, 554 is 2.

Highest Common Factor of 568,882,554 using Euclid's algorithm

Highest Common Factor of 568,882,554 is 2

Step 1: Since 882 > 568, we apply the division lemma to 882 and 568, to get

882 = 568 x 1 + 314

Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 314 and 568, to get

568 = 314 x 1 + 254

Step 3: We consider the new divisor 314 and the new remainder 254, and apply the division lemma to get

314 = 254 x 1 + 60

We consider the new divisor 254 and the new remainder 60,and apply the division lemma to get

254 = 60 x 4 + 14

We consider the new divisor 60 and the new remainder 14,and apply the division lemma to get

60 = 14 x 4 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 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 568 and 882 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(60,14) = HCF(254,60) = HCF(314,254) = HCF(568,314) = HCF(882,568) .

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

Step 1: Since 554 > 2, we apply the division lemma to 554 and 2, to get

554 = 2 x 277 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 554 is 2

Notice that 2 = HCF(554,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 568, 882, 554 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 568, 882, 554?

Answer: HCF of 568, 882, 554 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 568, 882, 554 using Euclid's Algorithm?

Answer: For arbitrary numbers 568, 882, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.