Online GCD Calculator is useful to find the GCD of 180, 908, 103, 300 quickly. Get the easiest ways to solve the greatest common divisor of 180, 908, 103, 300 i.e 1 in different methods as follows.
Given Input numbers are 180, 908, 103, 300
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 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (180, 908, 103, 300) = 1.
Given numbers are 180, 908, 103, 300
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 908 are 2 x 2 x 227
Prime factors of 103 are 103
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 908, 103, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 908) = 40860
GCD(180, 908) = ( 180 x 908 ) / 40860
= 180 / 908
= 180
Step2:
LCM(4, 103) = 412
GCD(4, 103) = ( 4 x 103 ) / 412
= 4 / 103
= 4
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 180, 908, 103, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 908, 103, 300
The greatest common divisor of numbers 180, 908, 103, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 908, 103, 300 is 1.
1. What is the GCD of 180, 908, 103, 300?
GCD of given numbers 180, 908, 103, 300 is 1
2. How to calculate the greatest common divisor of 180, 908, 103, 300?
We can find the highest common divisor of 180, 908, 103, 300 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, 908, 103, 300 i.e 1.
3. How can I use the GCD of 180, 908, 103, 300Calculator?
Out the numbers 180, 908, 103, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.