Online GCD Calculator is useful to find the GCD of 180, 913, 561, 225 quickly. Get the easiest ways to solve the greatest common divisor of 180, 913, 561, 225 i.e 1 in different methods as follows.
Given Input numbers are 180, 913, 561, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (180, 913, 561, 225) = 1.
Given numbers are 180, 913, 561, 225
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 913 are 11 x 83
Prime factors of 561 are 3 x 11 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 913, 561, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 913) = 164340
GCD(180, 913) = ( 180 x 913 ) / 164340
= 180 / 913
= 180
Step2:
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
= 1 / 561
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 180, 913, 561, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 913, 561, 225
The greatest common divisor of numbers 180, 913, 561, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 913, 561, 225 is 1.
1. What is the GCD of 180, 913, 561, 225?
GCD of given numbers 180, 913, 561, 225 is 1
2. How to calculate the greatest common divisor of 180, 913, 561, 225?
We can find the highest common divisor of 180, 913, 561, 225 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 180, 913, 561, 225 i.e 1.
3. How can I use the GCD of 180, 913, 561, 225Calculator?
Out the numbers 180, 913, 561, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.