Online GCD Calculator is useful to find the GCD of 360, 465, 594, 369 quickly. Get the easiest ways to solve the greatest common divisor of 360, 465, 594, 369 i.e 3 in different methods as follows.
Given Input numbers are 360, 465, 594, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (360, 465, 594, 369) = 3.
Given numbers are 360, 465, 594, 369
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 465 are 3 x 5 x 31
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 360, 465, 594, 369 is 3.
Given numbers are 360, 465, 594, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 465) = 11160
GCD(360, 465) = ( 360 x 465 ) / 11160
= 360 / 465
= 360
Step2:
LCM(15, 594) = 2970
GCD(15, 594) = ( 15 x 594 ) / 2970
= 15 / 594
= 15
Step3:
LCM(3, 369) = 369
GCD(3, 369) = ( 3 x 369 ) / 369
= 3 / 369
= 3
So, Greatest Common Divisor of 360, 465, 594, 369 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 465, 594, 369
The greatest common divisor of numbers 360, 465, 594, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 465, 594, 369 is 3.
1. What is the GCD of 360, 465, 594, 369?
GCD of given numbers 360, 465, 594, 369 is 3
2. How to calculate the greatest common divisor of 360, 465, 594, 369?
We can find the highest common divisor of 360, 465, 594, 369 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 360, 465, 594, 369 i.e 3.
3. How can I use the GCD of 360, 465, 594, 369Calculator?
Out the numbers 360, 465, 594, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.