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 40, 948, 979, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 948, 979, 780 is 1
GCD(40, 948, 979, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 948, 979, 780 is 1
GCD(40, 948, 979, 780) = 1
Given Input numbers are 40, 948, 979, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
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 40, 948, 979, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 948, 979, 780 is 1.
Therefore, GCD of numbers 40, 948, 979, 780 is 1
Given Input Data is 40, 948, 979, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 979 is 11 x 89
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(40, 948) = 9480
GCD(40, 948) = ( 40 x 948 ) / 9480
GCD(40, 948) = 37920 / 9480
GCD(40, 948) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 979) = 3916
GCD(4, 979) = ( 4 x 979 ) / 3916
GCD(4, 979) = 3916 / 3916
GCD(4, 979) = 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 40, 948, 979, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 948, 979, 780?
GCD of 40, 948, 979, 780 is 1
2. Where do I get the detailed procedure to find GCD of 40, 948, 979, 780?
You can find a detailed procedure to find GCD of 40, 948, 979, 780 on our page.
3. How to find GCD of 40, 948, 979, 780 on a calculator?
You can find the GCD of 40, 948, 979, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.