Online GCD Calculator is useful to find the GCD of 891, 225, 135, 304 quickly. Get the easiest ways to solve the greatest common divisor of 891, 225, 135, 304 i.e 1 in different methods as follows.
Given Input numbers are 891, 225, 135, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (891, 225, 135, 304) = 1.
Given numbers are 891, 225, 135, 304
The list of prime factors of all numbers are
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 891, 225, 135, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(891, 225) = 22275
GCD(891, 225) = ( 891 x 225 ) / 22275
= 891 / 225
= 891
Step2:
LCM(9, 135) = 135
GCD(9, 135) = ( 9 x 135 ) / 135
= 9 / 135
= 9
Step3:
LCM(9, 304) = 2736
GCD(9, 304) = ( 9 x 304 ) / 2736
= 9 / 304
= 9
So, Greatest Common Divisor of 891, 225, 135, 304 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 891, 225, 135, 304
The greatest common divisor of numbers 891, 225, 135, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 225, 135, 304 is 1.
1. What is the GCD of 891, 225, 135, 304?
GCD of given numbers 891, 225, 135, 304 is 1
2. How to calculate the greatest common divisor of 891, 225, 135, 304?
We can find the highest common divisor of 891, 225, 135, 304 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 891, 225, 135, 304 i.e 1.
3. How can I use the GCD of 891, 225, 135, 304Calculator?
Out the numbers 891, 225, 135, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.