Online GCD Calculator is useful to find the GCD of 409, 400, 189, 509 quickly. Get the easiest ways to solve the greatest common divisor of 409, 400, 189, 509 i.e 1 in different methods as follows.
Given Input numbers are 409, 400, 189, 509
In the factoring method, we have to find the divisors of all numbers
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
GCD of numbers is the greatest common divisor
So, the GCD (409, 400, 189, 509) = 1.
Given numbers are 409, 400, 189, 509
The list of prime factors of all numbers are
Prime factors of 409 are 409
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 509 are 509
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 409, 400, 189, 509
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(409, 400) = 163600
GCD(409, 400) = ( 409 x 400 ) / 163600
= 409 / 400
= 409
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
So, Greatest Common Divisor of 409, 400, 189, 509 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 409, 400, 189, 509
The greatest common divisor of numbers 409, 400, 189, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 409, 400, 189, 509 is 1.
1. What is the GCD of 409, 400, 189, 509?
GCD of given numbers 409, 400, 189, 509 is 1
2. How to calculate the greatest common divisor of 409, 400, 189, 509?
We can find the highest common divisor of 409, 400, 189, 509 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 409, 400, 189, 509 i.e 1.
3. How can I use the GCD of 409, 400, 189, 509Calculator?
Out the numbers 409, 400, 189, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.