Online GCD Calculator is useful to find the GCD of 180, 493, 872, 956 quickly. Get the easiest ways to solve the greatest common divisor of 180, 493, 872, 956 i.e 1 in different methods as follows.
Given Input numbers are 180, 493, 872, 956
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (180, 493, 872, 956) = 1.
Given numbers are 180, 493, 872, 956
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 493 are 17 x 29
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 956 are 2 x 2 x 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 493, 872, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 493) = 88740
GCD(180, 493) = ( 180 x 493 ) / 88740
= 180 / 493
= 180
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
= 1 / 956
= 1
So, Greatest Common Divisor of 180, 493, 872, 956 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 493, 872, 956
The greatest common divisor of numbers 180, 493, 872, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 493, 872, 956 is 1.
1. What is the GCD of 180, 493, 872, 956?
GCD of given numbers 180, 493, 872, 956 is 1
2. How to calculate the greatest common divisor of 180, 493, 872, 956?
We can find the highest common divisor of 180, 493, 872, 956 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, 493, 872, 956 i.e 1.
3. How can I use the GCD of 180, 493, 872, 956Calculator?
Out the numbers 180, 493, 872, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.