Online GCD Calculator is useful to find the GCD of 225, 438, 150 quickly. Get the easiest ways to solve the greatest common divisor of 225, 438, 150 i.e 3 in different methods as follows.
Given Input numbers are 225, 438, 150
In the factoring method, we have to find the divisors of all numbers
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (225, 438, 150) = 3.
Given numbers are 225, 438, 150
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 438 are 2 x 3 x 73
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 225, 438, 150 is 3.
Given numbers are 225, 438, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 438) = 32850
GCD(225, 438) = ( 225 x 438 ) / 32850
= 225 / 438
= 225
Step2:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
So, Greatest Common Divisor of 225, 438, 150 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 438, 150
The greatest common divisor of numbers 225, 438, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 438, 150 is 3.
1. What is the GCD of 225, 438, 150?
GCD of given numbers 225, 438, 150 is 3
2. How to calculate the greatest common divisor of 225, 438, 150?
We can find the highest common divisor of 225, 438, 150 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 225, 438, 150 i.e 3.
3. How can I use the GCD of 225, 438, 150Calculator?
Out the numbers 225, 438, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.