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, 159, 861, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 159, 861, 929 is 1
GCD(780, 159, 861, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 159, 861, 929 is 1
GCD(780, 159, 861, 929) = 1
Given Input numbers are 780, 159, 861, 929
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 780, 159, 861, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 159, 861, 929 is 1.
Therefore, GCD of numbers 780, 159, 861, 929 is 1
Given Input Data is 780, 159, 861, 929
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 159 is 3 x 53
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 929 is 929
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, 159) = 41340
GCD(780, 159) = ( 780 x 159 ) / 41340
GCD(780, 159) = 124020 / 41340
GCD(780, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 861) = 861
GCD(3, 861) = ( 3 x 861 ) / 861
GCD(3, 861) = 2583 / 861
GCD(3, 861) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 929) = 2787
GCD(3, 929) = ( 3 x 929 ) / 2787
GCD(3, 929) = 2787 / 2787
GCD(3, 929) = 1
GCD of 780, 159, 861, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 159, 861, 929?
GCD of 780, 159, 861, 929 is 1
2. Where do I get the detailed procedure to find GCD of 780, 159, 861, 929?
You can find a detailed procedure to find GCD of 780, 159, 861, 929 on our page.
3. How to find GCD of 780, 159, 861, 929 on a calculator?
You can find the GCD of 780, 159, 861, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.