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 51, 567, 185, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 567, 185, 904 is 1
GCD(51, 567, 185, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 567, 185, 904 is 1
GCD(51, 567, 185, 904) = 1
Given Input numbers are 51, 567, 185, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
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 51, 567, 185, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 567, 185, 904 is 1.
Therefore, GCD of numbers 51, 567, 185, 904 is 1
Given Input Data is 51, 567, 185, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 185 is 5 x 37
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(51, 567) = 9639
GCD(51, 567) = ( 51 x 567 ) / 9639
GCD(51, 567) = 28917 / 9639
GCD(51, 567) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 185) = 555
GCD(3, 185) = ( 3 x 185 ) / 555
GCD(3, 185) = 555 / 555
GCD(3, 185) = 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 51, 567, 185, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 567, 185, 904?
GCD of 51, 567, 185, 904 is 1
2. Where do I get the detailed procedure to find GCD of 51, 567, 185, 904?
You can find a detailed procedure to find GCD of 51, 567, 185, 904 on our page.
3. How to find GCD of 51, 567, 185, 904 on a calculator?
You can find the GCD of 51, 567, 185, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.