Online GCD Calculator is useful to find the GCD of 596, 369, 225 quickly. Get the easiest ways to solve the greatest common divisor of 596, 369, 225 i.e 1 in different methods as follows.
Given Input numbers are 596, 369, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (596, 369, 225) = 1.
Given numbers are 596, 369, 225
The list of prime factors of all numbers are
Prime factors of 596 are 2 x 2 x 149
Prime factors of 369 are 3 x 3 x 41
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 596, 369, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(596, 369) = 219924
GCD(596, 369) = ( 596 x 369 ) / 219924
= 596 / 369
= 596
Step2:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 596, 369, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 596, 369, 225
The greatest common divisor of numbers 596, 369, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 369, 225 is 1.
1. What is the GCD of 596, 369, 225?
GCD of given numbers 596, 369, 225 is 1
2. How to calculate the greatest common divisor of 596, 369, 225?
We can find the highest common divisor of 596, 369, 225 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 596, 369, 225 i.e 1.
3. How can I use the GCD of 596, 369, 225Calculator?
Out the numbers 596, 369, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.