Online GCD Calculator is useful to find the GCD of 193, 200, 198, 427 quickly. Get the easiest ways to solve the greatest common divisor of 193, 200, 198, 427 i.e 1 in different methods as follows.
Given Input numbers are 193, 200, 198, 427
In the factoring method, we have to find the divisors of all numbers
Divisors of 193 :
The positive integer divisors of 193 that completely divides 193 are.
1, 193
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
GCD of numbers is the greatest common divisor
So, the GCD (193, 200, 198, 427) = 1.
Given numbers are 193, 200, 198, 427
The list of prime factors of all numbers are
Prime factors of 193 are 193
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 427 are 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 193, 200, 198, 427
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(193, 200) = 38600
GCD(193, 200) = ( 193 x 200 ) / 38600
= 193 / 200
= 193
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
= 1 / 427
= 1
So, Greatest Common Divisor of 193, 200, 198, 427 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 193, 200, 198, 427
The greatest common divisor of numbers 193, 200, 198, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 193, 200, 198, 427 is 1.
1. What is the GCD of 193, 200, 198, 427?
GCD of given numbers 193, 200, 198, 427 is 1
2. How to calculate the greatest common divisor of 193, 200, 198, 427?
We can find the highest common divisor of 193, 200, 198, 427 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 193, 200, 198, 427 i.e 1.
3. How can I use the GCD of 193, 200, 198, 427Calculator?
Out the numbers 193, 200, 198, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.