Online GCD Calculator is useful to find the GCD of 189, 144, 200, 484 quickly. Get the easiest ways to solve the greatest common divisor of 189, 144, 200, 484 i.e 1 in different methods as follows.
Given Input numbers are 189, 144, 200, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (189, 144, 200, 484) = 1.
Given numbers are 189, 144, 200, 484
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 144, 200, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 144) = 3024
GCD(189, 144) = ( 189 x 144 ) / 3024
= 189 / 144
= 189
Step2:
LCM(9, 200) = 1800
GCD(9, 200) = ( 9 x 200 ) / 1800
= 9 / 200
= 9
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 189, 144, 200, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 144, 200, 484
The greatest common divisor of numbers 189, 144, 200, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 144, 200, 484 is 1.
1. What is the GCD of 189, 144, 200, 484?
GCD of given numbers 189, 144, 200, 484 is 1
2. How to calculate the greatest common divisor of 189, 144, 200, 484?
We can find the highest common divisor of 189, 144, 200, 484 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 189, 144, 200, 484 i.e 1.
3. How can I use the GCD of 189, 144, 200, 484Calculator?
Out the numbers 189, 144, 200, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.