Online GCD Calculator is useful to find the GCD of 203, 695, 198, 108 quickly. Get the easiest ways to solve the greatest common divisor of 203, 695, 198, 108 i.e 1 in different methods as follows.
Given Input numbers are 203, 695, 198, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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
GCD of numbers is the greatest common divisor
So, the GCD (203, 695, 198, 108) = 1.
Given numbers are 203, 695, 198, 108
The list of prime factors of all numbers are
Prime factors of 203 are 7 x 29
Prime factors of 695 are 5 x 139
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 203, 695, 198, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(203, 695) = 141085
GCD(203, 695) = ( 203 x 695 ) / 141085
= 203 / 695
= 203
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 203, 695, 198, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 203, 695, 198, 108
The greatest common divisor of numbers 203, 695, 198, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 203, 695, 198, 108 is 1.
1. What is the GCD of 203, 695, 198, 108?
GCD of given numbers 203, 695, 198, 108 is 1
2. How to calculate the greatest common divisor of 203, 695, 198, 108?
We can find the highest common divisor of 203, 695, 198, 108 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 203, 695, 198, 108 i.e 1.
3. How can I use the GCD of 203, 695, 198, 108Calculator?
Out the numbers 203, 695, 198, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.