Online GCD Calculator is useful to find the GCD of 855, 183, 366, 225 quickly. Get the easiest ways to solve the greatest common divisor of 855, 183, 366, 225 i.e 3 in different methods as follows.
Given Input numbers are 855, 183, 366, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
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 (855, 183, 366, 225) = 3.
Given numbers are 855, 183, 366, 225
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 183 are 3 x 61
Prime factors of 366 are 2 x 3 x 61
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 855, 183, 366, 225 is 3.
Given numbers are 855, 183, 366, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 183) = 52155
GCD(855, 183) = ( 855 x 183 ) / 52155
= 855 / 183
= 855
Step2:
LCM(3, 366) = 366
GCD(3, 366) = ( 3 x 366 ) / 366
= 3 / 366
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 855, 183, 366, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 855, 183, 366, 225
The greatest common divisor of numbers 855, 183, 366, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 183, 366, 225 is 3.
1. What is the GCD of 855, 183, 366, 225?
GCD of given numbers 855, 183, 366, 225 is 3
2. How to calculate the greatest common divisor of 855, 183, 366, 225?
We can find the highest common divisor of 855, 183, 366, 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 855, 183, 366, 225 i.e 3.
3. How can I use the GCD of 855, 183, 366, 225Calculator?
Out the numbers 855, 183, 366, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.