Online GCD Calculator is useful to find the GCD of 369, 564, 900, 239 quickly. Get the easiest ways to solve the greatest common divisor of 369, 564, 900, 239 i.e 1 in different methods as follows.
Given Input numbers are 369, 564, 900, 239
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 239 :
The positive integer divisors of 239 that completely divides 239 are.
1, 239
GCD of numbers is the greatest common divisor
So, the GCD (369, 564, 900, 239) = 1.
Given numbers are 369, 564, 900, 239
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 239 are 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 369, 564, 900, 239
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 564) = 69372
GCD(369, 564) = ( 369 x 564 ) / 69372
= 369 / 564
= 369
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
Step3:
LCM(3, 239) = 717
GCD(3, 239) = ( 3 x 239 ) / 717
= 3 / 239
= 3
So, Greatest Common Divisor of 369, 564, 900, 239 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 564, 900, 239
The greatest common divisor of numbers 369, 564, 900, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 564, 900, 239 is 1.
1. What is the GCD of 369, 564, 900, 239?
GCD of given numbers 369, 564, 900, 239 is 1
2. How to calculate the greatest common divisor of 369, 564, 900, 239?
We can find the highest common divisor of 369, 564, 900, 239 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 369, 564, 900, 239 i.e 1.
3. How can I use the GCD of 369, 564, 900, 239Calculator?
Out the numbers 369, 564, 900, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.