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, 131, 359, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 131, 359, 340 is 1
GCD(780, 131, 359, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 131, 359, 340 is 1
GCD(780, 131, 359, 340) = 1
Given Input numbers are 780, 131, 359, 340
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 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 780, 131, 359, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 131, 359, 340 is 1.
Therefore, GCD of numbers 780, 131, 359, 340 is 1
Given Input Data is 780, 131, 359, 340
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 131 is 131
Prime Factorization of 359 is 359
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(780, 131) = 102180
GCD(780, 131) = ( 780 x 131 ) / 102180
GCD(780, 131) = 102180 / 102180
GCD(780, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 780, 131, 359, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 131, 359, 340?
GCD of 780, 131, 359, 340 is 1
2. Where do I get the detailed procedure to find GCD of 780, 131, 359, 340?
You can find a detailed procedure to find GCD of 780, 131, 359, 340 on our page.
3. How to find GCD of 780, 131, 359, 340 on a calculator?
You can find the GCD of 780, 131, 359, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.