GCD of 678, 653, 613 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 678, 653, 613 i.e. 1 largest integer that divides all the numbers equally.

GCD of 678, 653, 613 is 1

GCD(678, 653, 613) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 678, 653, 613 is 1

GCD(678, 653, 613) = 1

GCD of 678,653,613 Calculator

GCDof 678,653,613 is 1

Given Input numbers are 678, 653, 613

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 678, 653, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 653, 613 is 1.

Therefore, GCD of numbers 678, 653, 613 is 1

Finding GCD of 678, 653, 613 using Prime Factorization

Given Input Data is 678, 653, 613

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 653 is 653

Prime Factorization of 613 is 613

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 678, 653, 613 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(678, 653) = 442734

GCD(678, 653) = ( 678 x 653 ) / 442734

GCD(678, 653) = 442734 / 442734

GCD(678, 653) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 678, 653, 613 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 678, 653, 613

1. What is the GCD of 678, 653, 613?

GCD of 678, 653, 613 is 1


2. Where do I get the detailed procedure to find GCD of 678, 653, 613?

You can find a detailed procedure to find GCD of 678, 653, 613 on our page.


3. How to find GCD of 678, 653, 613 on a calculator?

You can find the GCD of 678, 653, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.