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 39, 940, 484, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 940, 484, 504 is 1
GCD(39, 940, 484, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 940, 484, 504 is 1
GCD(39, 940, 484, 504) = 1
Given Input numbers are 39, 940, 484, 504
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 39, 940, 484, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 940, 484, 504 is 1.
Therefore, GCD of numbers 39, 940, 484, 504 is 1
Given Input Data is 39, 940, 484, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 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(39, 940) = 36660
GCD(39, 940) = ( 39 x 940 ) / 36660
GCD(39, 940) = 36660 / 36660
GCD(39, 940) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 39, 940, 484, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 940, 484, 504?
GCD of 39, 940, 484, 504 is 1
2. Where do I get the detailed procedure to find GCD of 39, 940, 484, 504?
You can find a detailed procedure to find GCD of 39, 940, 484, 504 on our page.
3. How to find GCD of 39, 940, 484, 504 on a calculator?
You can find the GCD of 39, 940, 484, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.