Online GCD Calculator is useful to find the GCD of 207, 825, 225 quickly. Get the easiest ways to solve the greatest common divisor of 207, 825, 225 i.e 3 in different methods as follows.
Given Input numbers are 207, 825, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 (207, 825, 225) = 3.
Given numbers are 207, 825, 225
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 207, 825, 225 is 3.
Given numbers are 207, 825, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 825) = 56925
GCD(207, 825) = ( 207 x 825 ) / 56925
= 207 / 825
= 207
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 207, 825, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 207, 825, 225
The greatest common divisor of numbers 207, 825, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 825, 225 is 3.
1. What is the GCD of 207, 825, 225?
GCD of given numbers 207, 825, 225 is 3
2. How to calculate the greatest common divisor of 207, 825, 225?
We can find the highest common divisor of 207, 825, 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 207, 825, 225 i.e 3.
3. How can I use the GCD of 207, 825, 225Calculator?
Out the numbers 207, 825, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.