Online GCD Calculator is useful to find the GCD of 120, 321, 403, 599 quickly. Get the easiest ways to solve the greatest common divisor of 120, 321, 403, 599 i.e 1 in different methods as follows.
Given Input numbers are 120, 321, 403, 599
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 599 :
The positive integer divisors of 599 that completely divides 599 are.
1, 599
GCD of numbers is the greatest common divisor
So, the GCD (120, 321, 403, 599) = 1.
Given numbers are 120, 321, 403, 599
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 321 are 3 x 107
Prime factors of 403 are 13 x 31
Prime factors of 599 are 599
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 321, 403, 599
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 321) = 12840
GCD(120, 321) = ( 120 x 321 ) / 12840
= 120 / 321
= 120
Step2:
LCM(3, 403) = 1209
GCD(3, 403) = ( 3 x 403 ) / 1209
= 3 / 403
= 3
Step3:
LCM(1, 599) = 599
GCD(1, 599) = ( 1 x 599 ) / 599
= 1 / 599
= 1
So, Greatest Common Divisor of 120, 321, 403, 599 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 321, 403, 599
The greatest common divisor of numbers 120, 321, 403, 599 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 321, 403, 599 is 1.
1. What is the GCD of 120, 321, 403, 599?
GCD of given numbers 120, 321, 403, 599 is 1
2. How to calculate the greatest common divisor of 120, 321, 403, 599?
We can find the highest common divisor of 120, 321, 403, 599 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 120, 321, 403, 599 i.e 1.
3. How can I use the GCD of 120, 321, 403, 599Calculator?
Out the numbers 120, 321, 403, 599 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.