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 291, 316, 954, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 316, 954, 780 is 1
GCD(291, 316, 954, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 316, 954, 780 is 1
GCD(291, 316, 954, 780) = 1
Given Input numbers are 291, 316, 954, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
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
Greatest Common Divisior
We found the divisors of 291, 316, 954, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 316, 954, 780 is 1.
Therefore, GCD of numbers 291, 316, 954, 780 is 1
Given Input Data is 291, 316, 954, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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(291, 316) = 91956
GCD(291, 316) = ( 291 x 316 ) / 91956
GCD(291, 316) = 91956 / 91956
GCD(291, 316) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 291, 316, 954, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 316, 954, 780?
GCD of 291, 316, 954, 780 is 1
2. Where do I get the detailed procedure to find GCD of 291, 316, 954, 780?
You can find a detailed procedure to find GCD of 291, 316, 954, 780 on our page.
3. How to find GCD of 291, 316, 954, 780 on a calculator?
You can find the GCD of 291, 316, 954, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.