Online GCD Calculator is useful to find the GCD of 307, 123, 872, 108 quickly. Get the easiest ways to solve the greatest common divisor of 307, 123, 872, 108 i.e 1 in different methods as follows.
Given Input numbers are 307, 123, 872, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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 (307, 123, 872, 108) = 1.
Given numbers are 307, 123, 872, 108
The list of prime factors of all numbers are
Prime factors of 307 are 307
Prime factors of 123 are 3 x 41
Prime factors of 872 are 2 x 2 x 2 x 109
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 307, 123, 872, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(307, 123) = 37761
GCD(307, 123) = ( 307 x 123 ) / 37761
= 307 / 123
= 307
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 307, 123, 872, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 307, 123, 872, 108
The greatest common divisor of numbers 307, 123, 872, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 123, 872, 108 is 1.
1. What is the GCD of 307, 123, 872, 108?
GCD of given numbers 307, 123, 872, 108 is 1
2. How to calculate the greatest common divisor of 307, 123, 872, 108?
We can find the highest common divisor of 307, 123, 872, 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 307, 123, 872, 108 i.e 1.
3. How can I use the GCD of 307, 123, 872, 108Calculator?
Out the numbers 307, 123, 872, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.