GCD of 438, 520, 807, 780 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 438, 520, 807, 780 i.e. 1 largest integer that divides all the numbers equally.

GCD of 438, 520, 807, 780 is 1

GCD(438, 520, 807, 780) = 1

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

GCD of

GCD of numbers 438, 520, 807, 780 is 1

GCD(438, 520, 807, 780) = 1

GCD of 438,520,807,780 Calculator

GCDof 438,520,807,780 is 1

Given Input numbers are 438, 520, 807, 780

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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

Greatest Common Divisior

We found the divisors of 438, 520, 807, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 520, 807, 780 is 1.

Therefore, GCD of numbers 438, 520, 807, 780 is 1

Finding GCD of 438, 520, 807, 780 using Prime Factorization

Given Input Data is 438, 520, 807, 780

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 807 is 3 x 269

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

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

Finding GCD of 438, 520, 807, 780 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(438, 520) = 113880

GCD(438, 520) = ( 438 x 520 ) / 113880

GCD(438, 520) = 227760 / 113880

GCD(438, 520) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 438, 520, 807, 780 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 438, 520, 807, 780

1. What is the GCD of 438, 520, 807, 780?

GCD of 438, 520, 807, 780 is 1


2. Where do I get the detailed procedure to find GCD of 438, 520, 807, 780?

You can find a detailed procedure to find GCD of 438, 520, 807, 780 on our page.


3. How to find GCD of 438, 520, 807, 780 on a calculator?

You can find the GCD of 438, 520, 807, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.