Highest Common Factor of 613, 809, 607 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 613, 809, 607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 613, 809, 607 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 613, 809, 607 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 613, 809, 607 is 1.

HCF(613, 809, 607) = 1

HCF of 613, 809, 607 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 613, 809, 607 is 1.

Highest Common Factor of 613,809,607 using Euclid's algorithm

Highest Common Factor of 613,809,607 is 1

Step 1: Since 809 > 613, we apply the division lemma to 809 and 613, to get

809 = 613 x 1 + 196

Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 196 and 613, to get

613 = 196 x 3 + 25

Step 3: We consider the new divisor 196 and the new remainder 25, and apply the division lemma to get

196 = 25 x 7 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 809 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(196,25) = HCF(613,196) = HCF(809,613) .

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

Step 1: Since 607 > 1, we apply the division lemma to 607 and 1, to get

607 = 1 x 607 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 607 is 1

Notice that 1 = HCF(607,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 613, 809, 607 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 613, 809, 607?

Answer: HCF of 613, 809, 607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 613, 809, 607 using Euclid's Algorithm?

Answer: For arbitrary numbers 613, 809, 607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.