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, 949, 908, 644 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 949, 908, 644 is 1
GCD(780, 949, 908, 644) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 949, 908, 644 is 1
GCD(780, 949, 908, 644) = 1
Given Input numbers are 780, 949, 908, 644
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 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Greatest Common Divisior
We found the divisors of 780, 949, 908, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 949, 908, 644 is 1.
Therefore, GCD of numbers 780, 949, 908, 644 is 1
Given Input Data is 780, 949, 908, 644
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 949 is 13 x 73
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 644 is 2 x 2 x 7 x 23
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, 949) = 56940
GCD(780, 949) = ( 780 x 949 ) / 56940
GCD(780, 949) = 740220 / 56940
GCD(780, 949) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 908) = 11804
GCD(13, 908) = ( 13 x 908 ) / 11804
GCD(13, 908) = 11804 / 11804
GCD(13, 908) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
GCD(1, 644) = 644 / 644
GCD(1, 644) = 1
GCD of 780, 949, 908, 644 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 949, 908, 644?
GCD of 780, 949, 908, 644 is 1
2. Where do I get the detailed procedure to find GCD of 780, 949, 908, 644?
You can find a detailed procedure to find GCD of 780, 949, 908, 644 on our page.
3. How to find GCD of 780, 949, 908, 644 on a calculator?
You can find the GCD of 780, 949, 908, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.