Online GCD Calculator is useful to find the GCD of 591, 453, 189, 225 quickly. Get the easiest ways to solve the greatest common divisor of 591, 453, 189, 225 i.e 3 in different methods as follows.
Given Input numbers are 591, 453, 189, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 (591, 453, 189, 225) = 3.
Given numbers are 591, 453, 189, 225
The list of prime factors of all numbers are
Prime factors of 591 are 3 x 197
Prime factors of 453 are 3 x 151
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 591, 453, 189, 225 is 3.
Given numbers are 591, 453, 189, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(591, 453) = 89241
GCD(591, 453) = ( 591 x 453 ) / 89241
= 591 / 453
= 591
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 591, 453, 189, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 591, 453, 189, 225
The greatest common divisor of numbers 591, 453, 189, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 591, 453, 189, 225 is 3.
1. What is the GCD of 591, 453, 189, 225?
GCD of given numbers 591, 453, 189, 225 is 3
2. How to calculate the greatest common divisor of 591, 453, 189, 225?
We can find the highest common divisor of 591, 453, 189, 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 591, 453, 189, 225 i.e 3.
3. How can I use the GCD of 591, 453, 189, 225Calculator?
Out the numbers 591, 453, 189, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.