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 560, 931, 39, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 931, 39, 904 is 1
GCD(560, 931, 39, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 931, 39, 904 is 1
GCD(560, 931, 39, 904) = 1
Given Input numbers are 560, 931, 39, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 560, 931, 39, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 931, 39, 904 is 1.
Therefore, GCD of numbers 560, 931, 39, 904 is 1
Given Input Data is 560, 931, 39, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 39 is 3 x 13
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(560, 931) = 74480
GCD(560, 931) = ( 560 x 931 ) / 74480
GCD(560, 931) = 521360 / 74480
GCD(560, 931) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 39) = 273
GCD(7, 39) = ( 7 x 39 ) / 273
GCD(7, 39) = 273 / 273
GCD(7, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 560, 931, 39, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 931, 39, 904?
GCD of 560, 931, 39, 904 is 1
2. Where do I get the detailed procedure to find GCD of 560, 931, 39, 904?
You can find a detailed procedure to find GCD of 560, 931, 39, 904 on our page.
3. How to find GCD of 560, 931, 39, 904 on a calculator?
You can find the GCD of 560, 931, 39, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.