Online GCD Calculator is useful to find the GCD of 480, 119, 331, 456 quickly. Get the easiest ways to solve the greatest common divisor of 480, 119, 331, 456 i.e 1 in different methods as follows.
Given Input numbers are 480, 119, 331, 456
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 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (480, 119, 331, 456) = 1.
Given numbers are 480, 119, 331, 456
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 119 are 7 x 17
Prime factors of 331 are 331
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 480, 119, 331, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 119) = 57120
GCD(480, 119) = ( 480 x 119 ) / 57120
= 480 / 119
= 480
Step2:
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
= 1 / 331
= 1
Step3:
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
= 1 / 456
= 1
So, Greatest Common Divisor of 480, 119, 331, 456 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 119, 331, 456
The greatest common divisor of numbers 480, 119, 331, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 119, 331, 456 is 1.
1. What is the GCD of 480, 119, 331, 456?
GCD of given numbers 480, 119, 331, 456 is 1
2. How to calculate the greatest common divisor of 480, 119, 331, 456?
We can find the highest common divisor of 480, 119, 331, 456 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, 119, 331, 456 i.e 1.
3. How can I use the GCD of 480, 119, 331, 456Calculator?
Out the numbers 480, 119, 331, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.