Online GCD Calculator is useful to find the GCD of 597, 189, 145, 324 quickly. Get the easiest ways to solve the greatest common divisor of 597, 189, 145, 324 i.e 1 in different methods as follows.
Given Input numbers are 597, 189, 145, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (597, 189, 145, 324) = 1.
Given numbers are 597, 189, 145, 324
The list of prime factors of all numbers are
Prime factors of 597 are 3 x 199
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 145 are 5 x 29
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 597, 189, 145, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(597, 189) = 37611
GCD(597, 189) = ( 597 x 189 ) / 37611
= 597 / 189
= 597
Step2:
LCM(3, 145) = 435
GCD(3, 145) = ( 3 x 145 ) / 435
= 3 / 145
= 3
Step3:
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
= 1 / 324
= 1
So, Greatest Common Divisor of 597, 189, 145, 324 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 597, 189, 145, 324
The greatest common divisor of numbers 597, 189, 145, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 189, 145, 324 is 1.
1. What is the GCD of 597, 189, 145, 324?
GCD of given numbers 597, 189, 145, 324 is 1
2. How to calculate the greatest common divisor of 597, 189, 145, 324?
We can find the highest common divisor of 597, 189, 145, 324 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 597, 189, 145, 324 i.e 1.
3. How can I use the GCD of 597, 189, 145, 324Calculator?
Out the numbers 597, 189, 145, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.