GCD of 200, 613, 78 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 200, 613, 78 i.e. 1 largest integer that divides all the numbers equally.

GCD of 200, 613, 78 is 1

GCD(200, 613, 78) = 1

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

GCD of

GCD of numbers 200, 613, 78 is 1

GCD(200, 613, 78) = 1

GCD of 200,613,78 Calculator

GCDof 200,613,78 is 1

Given Input numbers are 200, 613, 78

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 613

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

1, 613

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 200, 613, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 613, 78 is 1.

Therefore, GCD of numbers 200, 613, 78 is 1

Finding GCD of 200, 613, 78 using Prime Factorization

Given Input Data is 200, 613, 78

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 613 is 613

Prime Factorization of 78 is 2 x 3 x 13

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

Finding GCD of 200, 613, 78 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(200, 613) = 122600

GCD(200, 613) = ( 200 x 613 ) / 122600

GCD(200, 613) = 122600 / 122600

GCD(200, 613) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

GCD of 200, 613, 78 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 200, 613, 78

1. What is the GCD of 200, 613, 78?

GCD of 200, 613, 78 is 1


2. Where do I get the detailed procedure to find GCD of 200, 613, 78?

You can find a detailed procedure to find GCD of 200, 613, 78 on our page.


3. How to find GCD of 200, 613, 78 on a calculator?

You can find the GCD of 200, 613, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.