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, 944, 39, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 944, 39, 695 is 1
GCD(780, 944, 39, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 944, 39, 695 is 1
GCD(780, 944, 39, 695) = 1
Given Input numbers are 780, 944, 39, 695
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 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 780, 944, 39, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 944, 39, 695 is 1.
Therefore, GCD of numbers 780, 944, 39, 695 is 1
Given Input Data is 780, 944, 39, 695
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 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 39 is 3 x 13
Prime Factorization of 695 is 5 x 139
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, 944) = 184080
GCD(780, 944) = ( 780 x 944 ) / 184080
GCD(780, 944) = 736320 / 184080
GCD(780, 944) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 39) = 156
GCD(4, 39) = ( 4 x 39 ) / 156
GCD(4, 39) = 156 / 156
GCD(4, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 780, 944, 39, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 944, 39, 695?
GCD of 780, 944, 39, 695 is 1
2. Where do I get the detailed procedure to find GCD of 780, 944, 39, 695?
You can find a detailed procedure to find GCD of 780, 944, 39, 695 on our page.
3. How to find GCD of 780, 944, 39, 695 on a calculator?
You can find the GCD of 780, 944, 39, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.