Highest Common Factor of 560, 863, 282 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 560, 863, 282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 560, 863, 282 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 560, 863, 282 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 560, 863, 282 is 1.

HCF(560, 863, 282) = 1

HCF of 560, 863, 282 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 560, 863, 282 is 1.

Highest Common Factor of 560,863,282 using Euclid's algorithm

Highest Common Factor of 560,863,282 is 1

Step 1: Since 863 > 560, we apply the division lemma to 863 and 560, to get

863 = 560 x 1 + 303

Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 303 and 560, to get

560 = 303 x 1 + 257

Step 3: We consider the new divisor 303 and the new remainder 257, and apply the division lemma to get

303 = 257 x 1 + 46

We consider the new divisor 257 and the new remainder 46,and apply the division lemma to get

257 = 46 x 5 + 27

We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get

46 = 27 x 1 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

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

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 560 and 863 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(257,46) = HCF(303,257) = HCF(560,303) = HCF(863,560) .

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

Step 1: Since 282 > 1, we apply the division lemma to 282 and 1, to get

282 = 1 x 282 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 282 is 1

Notice that 1 = HCF(282,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 560, 863, 282 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 560, 863, 282?

Answer: HCF of 560, 863, 282 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 560, 863, 282 using Euclid's Algorithm?

Answer: For arbitrary numbers 560, 863, 282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.