Online GCD Calculator is useful to find the GCD of 180, 163, 460, 493 quickly. Get the easiest ways to solve the greatest common divisor of 180, 163, 460, 493 i.e 1 in different methods as follows.
Given Input numbers are 180, 163, 460, 493
In the factoring method, we have to find the divisors of all numbers
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 163 :
The positive integer divisors of 163 that completely divides 163 are.
1, 163
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (180, 163, 460, 493) = 1.
Given numbers are 180, 163, 460, 493
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 163 are 163
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 163, 460, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 163) = 29340
GCD(180, 163) = ( 180 x 163 ) / 29340
= 180 / 163
= 180
Step2:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
Step3:
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
= 1 / 493
= 1
So, Greatest Common Divisor of 180, 163, 460, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 163, 460, 493
The greatest common divisor of numbers 180, 163, 460, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 163, 460, 493 is 1.
1. What is the GCD of 180, 163, 460, 493?
GCD of given numbers 180, 163, 460, 493 is 1
2. How to calculate the greatest common divisor of 180, 163, 460, 493?
We can find the highest common divisor of 180, 163, 460, 493 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 180, 163, 460, 493 i.e 1.
3. How can I use the GCD of 180, 163, 460, 493Calculator?
Out the numbers 180, 163, 460, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.