Online GCD Calculator is useful to find the GCD of 460, 163, 432, 112 quickly. Get the easiest ways to solve the greatest common divisor of 460, 163, 432, 112 i.e 1 in different methods as follows.
Given Input numbers are 460, 163, 432, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 163 :
The positive integer divisors of 163 that completely divides 163 are.
1, 163
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 (460, 163, 432, 112) = 1.
Given numbers are 460, 163, 432, 112
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 163 are 163
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 163, 432, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 163) = 74980
GCD(460, 163) = ( 460 x 163 ) / 74980
= 460 / 163
= 460
Step2:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 460, 163, 432, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 163, 432, 112
The greatest common divisor of numbers 460, 163, 432, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 163, 432, 112 is 1.
1. What is the GCD of 460, 163, 432, 112?
GCD of given numbers 460, 163, 432, 112 is 1
2. How to calculate the greatest common divisor of 460, 163, 432, 112?
We can find the highest common divisor of 460, 163, 432, 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 460, 163, 432, 112 i.e 1.
3. How can I use the GCD of 460, 163, 432, 112Calculator?
Out the numbers 460, 163, 432, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.