Online GCD Calculator is useful to find the GCD of 180, 107, 336, 192 quickly. Get the easiest ways to solve the greatest common divisor of 180, 107, 336, 192 i.e 1 in different methods as follows.
Given Input numbers are 180, 107, 336, 192
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 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD of numbers is the greatest common divisor
So, the GCD (180, 107, 336, 192) = 1.
Given numbers are 180, 107, 336, 192
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 107 are 107
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 107, 336, 192
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 107) = 19260
GCD(180, 107) = ( 180 x 107 ) / 19260
= 180 / 107
= 180
Step2:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
Step3:
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
= 1 / 192
= 1
So, Greatest Common Divisor of 180, 107, 336, 192 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 107, 336, 192
The greatest common divisor of numbers 180, 107, 336, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 107, 336, 192 is 1.
1. What is the GCD of 180, 107, 336, 192?
GCD of given numbers 180, 107, 336, 192 is 1
2. How to calculate the greatest common divisor of 180, 107, 336, 192?
We can find the highest common divisor of 180, 107, 336, 192 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, 107, 336, 192 i.e 1.
3. How can I use the GCD of 180, 107, 336, 192Calculator?
Out the numbers 180, 107, 336, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.