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 59, 425, 556, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 425, 556, 522 is 1
GCD(59, 425, 556, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 425, 556, 522 is 1
GCD(59, 425, 556, 522) = 1
Given Input numbers are 59, 425, 556, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 59, 425, 556, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 425, 556, 522 is 1.
Therefore, GCD of numbers 59, 425, 556, 522 is 1
Given Input Data is 59, 425, 556, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(59, 425) = 25075
GCD(59, 425) = ( 59 x 425 ) / 25075
GCD(59, 425) = 25075 / 25075
GCD(59, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 59, 425, 556, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 425, 556, 522?
GCD of 59, 425, 556, 522 is 1
2. Where do I get the detailed procedure to find GCD of 59, 425, 556, 522?
You can find a detailed procedure to find GCD of 59, 425, 556, 522 on our page.
3. How to find GCD of 59, 425, 556, 522 on a calculator?
You can find the GCD of 59, 425, 556, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.