Online GCD Calculator is useful to find the GCD of 150, 252, 589, 592 quickly. Get the easiest ways to solve the greatest common divisor of 150, 252, 589, 592 i.e 1 in different methods as follows.
Given Input numbers are 150, 252, 589, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (150, 252, 589, 592) = 1.
Given numbers are 150, 252, 589, 592
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 589 are 19 x 31
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 252, 589, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 252) = 6300
GCD(150, 252) = ( 150 x 252 ) / 6300
= 150 / 252
= 150
Step2:
LCM(6, 589) = 3534
GCD(6, 589) = ( 6 x 589 ) / 3534
= 6 / 589
= 6
Step3:
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
= 1 / 592
= 1
So, Greatest Common Divisor of 150, 252, 589, 592 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 252, 589, 592
The greatest common divisor of numbers 150, 252, 589, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 252, 589, 592 is 1.
1. What is the GCD of 150, 252, 589, 592?
GCD of given numbers 150, 252, 589, 592 is 1
2. How to calculate the greatest common divisor of 150, 252, 589, 592?
We can find the highest common divisor of 150, 252, 589, 592 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 150, 252, 589, 592 i.e 1.
3. How can I use the GCD of 150, 252, 589, 592Calculator?
Out the numbers 150, 252, 589, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.