Online GCD Calculator is useful to find the GCD of 788, 831, 180, 108 quickly. Get the easiest ways to solve the greatest common divisor of 788, 831, 180, 108 i.e 1 in different methods as follows.
Given Input numbers are 788, 831, 180, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (788, 831, 180, 108) = 1.
Given numbers are 788, 831, 180, 108
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 831 are 3 x 277
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 788, 831, 180, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 831) = 654828
GCD(788, 831) = ( 788 x 831 ) / 654828
= 788 / 831
= 788
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 788, 831, 180, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 831, 180, 108
The greatest common divisor of numbers 788, 831, 180, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 831, 180, 108 is 1.
1. What is the GCD of 788, 831, 180, 108?
GCD of given numbers 788, 831, 180, 108 is 1
2. How to calculate the greatest common divisor of 788, 831, 180, 108?
We can find the highest common divisor of 788, 831, 180, 108 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 788, 831, 180, 108 i.e 1.
3. How can I use the GCD of 788, 831, 180, 108Calculator?
Out the numbers 788, 831, 180, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.