Online GCD Calculator is useful to find the GCD of 195, 612, 180, 208 quickly. Get the easiest ways to solve the greatest common divisor of 195, 612, 180, 208 i.e 1 in different methods as follows.
Given Input numbers are 195, 612, 180, 208
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
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 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (195, 612, 180, 208) = 1.
Given numbers are 195, 612, 180, 208
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 195, 612, 180, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 612) = 39780
GCD(195, 612) = ( 195 x 612 ) / 39780
= 195 / 612
= 195
Step2:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
Step3:
LCM(3, 208) = 624
GCD(3, 208) = ( 3 x 208 ) / 624
= 3 / 208
= 3
So, Greatest Common Divisor of 195, 612, 180, 208 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 195, 612, 180, 208
The greatest common divisor of numbers 195, 612, 180, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 612, 180, 208 is 1.
1. What is the GCD of 195, 612, 180, 208?
GCD of given numbers 195, 612, 180, 208 is 1
2. How to calculate the greatest common divisor of 195, 612, 180, 208?
We can find the highest common divisor of 195, 612, 180, 208 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 195, 612, 180, 208 i.e 1.
3. How can I use the GCD of 195, 612, 180, 208Calculator?
Out the numbers 195, 612, 180, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.