Online GCD Calculator is useful to find the GCD of 108, 230, 111, 352 quickly. Get the easiest ways to solve the greatest common divisor of 108, 230, 111, 352 i.e 1 in different methods as follows.
Given Input numbers are 108, 230, 111, 352
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (108, 230, 111, 352) = 1.
Given numbers are 108, 230, 111, 352
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 230 are 2 x 5 x 23
Prime factors of 111 are 3 x 37
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 230, 111, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 230) = 12420
GCD(108, 230) = ( 108 x 230 ) / 12420
= 108 / 230
= 108
Step2:
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
= 2 / 111
= 2
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 108, 230, 111, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 230, 111, 352
The greatest common divisor of numbers 108, 230, 111, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 230, 111, 352 is 1.
1. What is the GCD of 108, 230, 111, 352?
GCD of given numbers 108, 230, 111, 352 is 1
2. How to calculate the greatest common divisor of 108, 230, 111, 352?
We can find the highest common divisor of 108, 230, 111, 352 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 108, 230, 111, 352 i.e 1.
3. How can I use the GCD of 108, 230, 111, 352Calculator?
Out the numbers 108, 230, 111, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.