Online GCD Calculator is useful to find the GCD of 804, 309, 249, 225 quickly. Get the easiest ways to solve the greatest common divisor of 804, 309, 249, 225 i.e 3 in different methods as follows.
Given Input numbers are 804, 309, 249, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
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 (804, 309, 249, 225) = 3.
Given numbers are 804, 309, 249, 225
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 309 are 3 x 103
Prime factors of 249 are 3 x 83
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 804, 309, 249, 225 is 3.
Given numbers are 804, 309, 249, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 309) = 82812
GCD(804, 309) = ( 804 x 309 ) / 82812
= 804 / 309
= 804
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 804, 309, 249, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 309, 249, 225
The greatest common divisor of numbers 804, 309, 249, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 309, 249, 225 is 3.
1. What is the GCD of 804, 309, 249, 225?
GCD of given numbers 804, 309, 249, 225 is 3
2. How to calculate the greatest common divisor of 804, 309, 249, 225?
We can find the highest common divisor of 804, 309, 249, 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 804, 309, 249, 225 i.e 3.
3. How can I use the GCD of 804, 309, 249, 225Calculator?
Out the numbers 804, 309, 249, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.