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, 350, 320, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 350, 320, 789 is 1
GCD(780, 350, 320, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 350, 320, 789 is 1
GCD(780, 350, 320, 789) = 1
Given Input numbers are 780, 350, 320, 789
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 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 780, 350, 320, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 350, 320, 789 is 1.
Therefore, GCD of numbers 780, 350, 320, 789 is 1
Given Input Data is 780, 350, 320, 789
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 350 is 2 x 5 x 5 x 7
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 789 is 3 x 263
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, 350) = 27300
GCD(780, 350) = ( 780 x 350 ) / 27300
GCD(780, 350) = 273000 / 27300
GCD(780, 350) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 320) = 320
GCD(10, 320) = ( 10 x 320 ) / 320
GCD(10, 320) = 3200 / 320
GCD(10, 320) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 789) = 7890
GCD(10, 789) = ( 10 x 789 ) / 7890
GCD(10, 789) = 7890 / 7890
GCD(10, 789) = 1
GCD of 780, 350, 320, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 350, 320, 789?
GCD of 780, 350, 320, 789 is 1
2. Where do I get the detailed procedure to find GCD of 780, 350, 320, 789?
You can find a detailed procedure to find GCD of 780, 350, 320, 789 on our page.
3. How to find GCD of 780, 350, 320, 789 on a calculator?
You can find the GCD of 780, 350, 320, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.