Online GCD Calculator is useful to find the GCD of 480, 321, 60, 446 quickly. Get the easiest ways to solve the greatest common divisor of 480, 321, 60, 446 i.e 1 in different methods as follows.
Given Input numbers are 480, 321, 60, 446
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
GCD of numbers is the greatest common divisor
So, the GCD (480, 321, 60, 446) = 1.
Given numbers are 480, 321, 60, 446
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 321 are 3 x 107
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 446 are 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 480, 321, 60, 446
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 321) = 51360
GCD(480, 321) = ( 480 x 321 ) / 51360
= 480 / 321
= 480
Step2:
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
= 3 / 60
= 3
Step3:
LCM(3, 446) = 1338
GCD(3, 446) = ( 3 x 446 ) / 1338
= 3 / 446
= 3
So, Greatest Common Divisor of 480, 321, 60, 446 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 321, 60, 446
The greatest common divisor of numbers 480, 321, 60, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 321, 60, 446 is 1.
1. What is the GCD of 480, 321, 60, 446?
GCD of given numbers 480, 321, 60, 446 is 1
2. How to calculate the greatest common divisor of 480, 321, 60, 446?
We can find the highest common divisor of 480, 321, 60, 446 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 480, 321, 60, 446 i.e 1.
3. How can I use the GCD of 480, 321, 60, 446Calculator?
Out the numbers 480, 321, 60, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.