Online GCD Calculator is useful to find the GCD of 322, 360, 390, 120 quickly. Get the easiest ways to solve the greatest common divisor of 322, 360, 390, 120 i.e 2 in different methods as follows.
Given Input numbers are 322, 360, 390, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (322, 360, 390, 120) = 2.
Given numbers are 322, 360, 390, 120
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 322, 360, 390, 120 is 2.
Given numbers are 322, 360, 390, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 360) = 57960
GCD(322, 360) = ( 322 x 360 ) / 57960
= 322 / 360
= 322
Step2:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 322, 360, 390, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 360, 390, 120
The greatest common divisor of numbers 322, 360, 390, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 360, 390, 120 is 2.
1. What is the GCD of 322, 360, 390, 120?
GCD of given numbers 322, 360, 390, 120 is 2
2. How to calculate the greatest common divisor of 322, 360, 390, 120?
We can find the highest common divisor of 322, 360, 390, 120 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 322, 360, 390, 120 i.e 2.
3. How can I use the GCD of 322, 360, 390, 120Calculator?
Out the numbers 322, 360, 390, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.