Online GCD Calculator is useful to find the GCD of 111, 180, 179, 308 quickly. Get the easiest ways to solve the greatest common divisor of 111, 180, 179, 308 i.e 1 in different methods as follows.
Given Input numbers are 111, 180, 179, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
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 179 :
The positive integer divisors of 179 that completely divides 179 are.
1, 179
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (111, 180, 179, 308) = 1.
Given numbers are 111, 180, 179, 308
The list of prime factors of all numbers are
Prime factors of 111 are 3 x 37
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 179 are 179
Prime factors of 308 are 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 111, 180, 179, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(111, 180) = 6660
GCD(111, 180) = ( 111 x 180 ) / 6660
= 111 / 180
= 111
Step2:
LCM(3, 179) = 537
GCD(3, 179) = ( 3 x 179 ) / 537
= 3 / 179
= 3
Step3:
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
= 1 / 308
= 1
So, Greatest Common Divisor of 111, 180, 179, 308 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 111, 180, 179, 308
The greatest common divisor of numbers 111, 180, 179, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 180, 179, 308 is 1.
1. What is the GCD of 111, 180, 179, 308?
GCD of given numbers 111, 180, 179, 308 is 1
2. How to calculate the greatest common divisor of 111, 180, 179, 308?
We can find the highest common divisor of 111, 180, 179, 308 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 111, 180, 179, 308 i.e 1.
3. How can I use the GCD of 111, 180, 179, 308Calculator?
Out the numbers 111, 180, 179, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.