Highest Common Factor of 493, 840, 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 493, 840, 568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 493, 840, 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 493, 840, 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 493, 840, 568 is 1.

HCF(493, 840, 568) = 1

HCF of 493, 840, 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 493, 840, 568 is 1.

Highest Common Factor of 493,840,568 using Euclid's algorithm

Highest Common Factor of 493,840,568 is 1

Step 1: Since 840 > 493, we apply the division lemma to 840 and 493, to get

840 = 493 x 1 + 347

Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 347 and 493, to get

493 = 347 x 1 + 146

Step 3: We consider the new divisor 347 and the new remainder 146, and apply the division lemma to get

347 = 146 x 2 + 55

We consider the new divisor 146 and the new remainder 55,and apply the division lemma to get

146 = 55 x 2 + 36

We consider the new divisor 55 and the new remainder 36,and apply the division lemma to get

55 = 36 x 1 + 19

We consider the new divisor 36 and the new remainder 19,and apply the division lemma to get

36 = 19 x 1 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 493 and 840 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(55,36) = HCF(146,55) = HCF(347,146) = HCF(493,347) = HCF(840,493) .

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) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 493, 840, 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 493, 840, 568?

Answer: HCF of 493, 840, 568 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 493, 840, 568 using Euclid's Algorithm?

Answer: For arbitrary numbers 493, 840, 568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.