Online GCD Calculator is useful to find the GCD of 456, 480, 422 quickly. Get the easiest ways to solve the greatest common divisor of 456, 480, 422 i.e 2 in different methods as follows.
Given Input numbers are 456, 480, 422
In the factoring method, we have to find the divisors of all numbers
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
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 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (456, 480, 422) = 2.
Given numbers are 456, 480, 422
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 456, 480, 422 is 2.
Given numbers are 456, 480, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 480) = 9120
GCD(456, 480) = ( 456 x 480 ) / 9120
= 456 / 480
= 456
Step2:
LCM(24, 422) = 5064
GCD(24, 422) = ( 24 x 422 ) / 5064
= 24 / 422
= 24
So, Greatest Common Divisor of 456, 480, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 480, 422
The greatest common divisor of numbers 456, 480, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 480, 422 is 2.
1. What is the GCD of 456, 480, 422?
GCD of given numbers 456, 480, 422 is 2
2. How to calculate the greatest common divisor of 456, 480, 422?
We can find the highest common divisor of 456, 480, 422 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 456, 480, 422 i.e 2.
3. How can I use the GCD of 456, 480, 422Calculator?
Out the numbers 456, 480, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.