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 961, 946, 780, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 946, 780, 469 is 1
GCD(961, 946, 780, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 946, 780, 469 is 1
GCD(961, 946, 780, 469) = 1
Given Input numbers are 961, 946, 780, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
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 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 961, 946, 780, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 946, 780, 469 is 1.
Therefore, GCD of numbers 961, 946, 780, 469 is 1
Given Input Data is 961, 946, 780, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 469 is 7 x 67
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(961, 946) = 909106
GCD(961, 946) = ( 961 x 946 ) / 909106
GCD(961, 946) = 909106 / 909106
GCD(961, 946) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 961, 946, 780, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 946, 780, 469?
GCD of 961, 946, 780, 469 is 1
2. Where do I get the detailed procedure to find GCD of 961, 946, 780, 469?
You can find a detailed procedure to find GCD of 961, 946, 780, 469 on our page.
3. How to find GCD of 961, 946, 780, 469 on a calculator?
You can find the GCD of 961, 946, 780, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.