Highest Common Factor of 683, 933, 605 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 683, 933, 605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 683, 933, 605 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 683, 933, 605 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 683, 933, 605 is 1.

HCF(683, 933, 605) = 1

HCF of 683, 933, 605 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 683, 933, 605 is 1.

Highest Common Factor of 683,933,605 using Euclid's algorithm

Highest Common Factor of 683,933,605 is 1

Step 1: Since 933 > 683, we apply the division lemma to 933 and 683, to get

933 = 683 x 1 + 250

Step 2: Since the reminder 683 ≠ 0, we apply division lemma to 250 and 683, to get

683 = 250 x 2 + 183

Step 3: We consider the new divisor 250 and the new remainder 183, and apply the division lemma to get

250 = 183 x 1 + 67

We consider the new divisor 183 and the new remainder 67,and apply the division lemma to get

183 = 67 x 2 + 49

We consider the new divisor 67 and the new remainder 49,and apply the division lemma to get

67 = 49 x 1 + 18

We consider the new divisor 49 and the new remainder 18,and apply the division lemma to get

49 = 18 x 2 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 683 and 933 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(49,18) = HCF(67,49) = HCF(183,67) = HCF(250,183) = HCF(683,250) = HCF(933,683) .

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

Step 1: Since 605 > 1, we apply the division lemma to 605 and 1, to get

605 = 1 x 605 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 605 is 1

Notice that 1 = HCF(605,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 683, 933, 605 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 683, 933, 605?

Answer: HCF of 683, 933, 605 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 683, 933, 605 using Euclid's Algorithm?

Answer: For arbitrary numbers 683, 933, 605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.