GCD of 780, 678, 28, 599 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 780, 678, 28, 599 i.e. 1 largest integer that divides all the numbers equally.

GCD of 780, 678, 28, 599 is 1

GCD(780, 678, 28, 599) = 1

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

GCD of

GCD of numbers 780, 678, 28, 599 is 1

GCD(780, 678, 28, 599) = 1

GCD of 780,678,28,599 Calculator

GCDof 780,678,28,599 is 1

Given Input numbers are 780, 678, 28, 599

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 780, 678, 28, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 678, 28, 599 is 1.

Therefore, GCD of numbers 780, 678, 28, 599 is 1

Finding GCD of 780, 678, 28, 599 using Prime Factorization

Given Input Data is 780, 678, 28, 599

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 599 is 599

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

Finding GCD of 780, 678, 28, 599 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(780, 678) = 88140

GCD(780, 678) = ( 780 x 678 ) / 88140

GCD(780, 678) = 528840 / 88140

GCD(780, 678) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

GCD of 780, 678, 28, 599 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 780, 678, 28, 599

1. What is the GCD of 780, 678, 28, 599?

GCD of 780, 678, 28, 599 is 1


2. Where do I get the detailed procedure to find GCD of 780, 678, 28, 599?

You can find a detailed procedure to find GCD of 780, 678, 28, 599 on our page.


3. How to find GCD of 780, 678, 28, 599 on a calculator?

You can find the GCD of 780, 678, 28, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.