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, 293, 129, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 293, 129, 105 is 1
GCD(780, 293, 129, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 293, 129, 105 is 1
GCD(780, 293, 129, 105) = 1
Given Input numbers are 780, 293, 129, 105
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 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 780, 293, 129, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 293, 129, 105 is 1.
Therefore, GCD of numbers 780, 293, 129, 105 is 1
Given Input Data is 780, 293, 129, 105
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 293 is 293
Prime Factorization of 129 is 3 x 43
Prime Factorization of 105 is 3 x 5 x 7
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, 293) = 228540
GCD(780, 293) = ( 780 x 293 ) / 228540
GCD(780, 293) = 228540 / 228540
GCD(780, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 780, 293, 129, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 293, 129, 105?
GCD of 780, 293, 129, 105 is 1
2. Where do I get the detailed procedure to find GCD of 780, 293, 129, 105?
You can find a detailed procedure to find GCD of 780, 293, 129, 105 on our page.
3. How to find GCD of 780, 293, 129, 105 on a calculator?
You can find the GCD of 780, 293, 129, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.