Online GCD Calculator is useful to find the GCD of 112, 339, 66, 188 quickly. Get the easiest ways to solve the greatest common divisor of 112, 339, 66, 188 i.e 1 in different methods as follows.
Given Input numbers are 112, 339, 66, 188
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (112, 339, 66, 188) = 1.
Given numbers are 112, 339, 66, 188
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 339 are 3 x 113
Prime factors of 66 are 2 x 3 x 11
Prime factors of 188 are 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 339, 66, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 339) = 37968
GCD(112, 339) = ( 112 x 339 ) / 37968
= 112 / 339
= 112
Step2:
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
= 1 / 66
= 1
Step3:
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
= 1 / 188
= 1
So, Greatest Common Divisor of 112, 339, 66, 188 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 339, 66, 188
The greatest common divisor of numbers 112, 339, 66, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 339, 66, 188 is 1.
1. What is the GCD of 112, 339, 66, 188?
GCD of given numbers 112, 339, 66, 188 is 1
2. How to calculate the greatest common divisor of 112, 339, 66, 188?
We can find the highest common divisor of 112, 339, 66, 188 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 112, 339, 66, 188 i.e 1.
3. How can I use the GCD of 112, 339, 66, 188Calculator?
Out the numbers 112, 339, 66, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.