Online GCD Calculator is useful to find the GCD of 513, 189, 905, 200 quickly. Get the easiest ways to solve the greatest common divisor of 513, 189, 905, 200 i.e 1 in different methods as follows.
Given Input numbers are 513, 189, 905, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
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
GCD of numbers is the greatest common divisor
So, the GCD (513, 189, 905, 200) = 1.
Given numbers are 513, 189, 905, 200
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 905 are 5 x 181
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 189, 905, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 189) = 3591
GCD(513, 189) = ( 513 x 189 ) / 3591
= 513 / 189
= 513
Step2:
LCM(27, 905) = 24435
GCD(27, 905) = ( 27 x 905 ) / 24435
= 27 / 905
= 27
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 513, 189, 905, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 189, 905, 200
The greatest common divisor of numbers 513, 189, 905, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 189, 905, 200 is 1.
1. What is the GCD of 513, 189, 905, 200?
GCD of given numbers 513, 189, 905, 200 is 1
2. How to calculate the greatest common divisor of 513, 189, 905, 200?
We can find the highest common divisor of 513, 189, 905, 200 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 513, 189, 905, 200 i.e 1.
3. How can I use the GCD of 513, 189, 905, 200Calculator?
Out the numbers 513, 189, 905, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.