Online GCD Calculator is useful to find the GCD of 478, 180, 112 quickly. Get the easiest ways to solve the greatest common divisor of 478, 180, 112 i.e 2 in different methods as follows.
Given Input numbers are 478, 180, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (478, 180, 112) = 2.
Given numbers are 478, 180, 112
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 478, 180, 112 is 2.
Given numbers are 478, 180, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 180) = 43020
GCD(478, 180) = ( 478 x 180 ) / 43020
= 478 / 180
= 478
Step2:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 478, 180, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 180, 112
The greatest common divisor of numbers 478, 180, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 180, 112 is 2.
1. What is the GCD of 478, 180, 112?
GCD of given numbers 478, 180, 112 is 2
2. How to calculate the greatest common divisor of 478, 180, 112?
We can find the highest common divisor of 478, 180, 112 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 478, 180, 112 i.e 2.
3. How can I use the GCD of 478, 180, 112Calculator?
Out the numbers 478, 180, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.