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 numbers 438, 520, 807, 780 is 1
GCD(438, 520, 807, 780) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.