Online GCD Calculator is useful to find the GCD of 432, 828, 486, 225 quickly. Get the easiest ways to solve the greatest common divisor of 432, 828, 486, 225 i.e 9 in different methods as follows.
Given Input numbers are 432, 828, 486, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
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 (432, 828, 486, 225) = 9.
Given numbers are 432, 828, 486, 225
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 32
Therefore, GCD of 432, 828, 486, 225 is 9.
Given numbers are 432, 828, 486, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 828) = 9936
GCD(432, 828) = ( 432 x 828 ) / 9936
= 432 / 828
= 432
Step2:
LCM(36, 486) = 972
GCD(36, 486) = ( 36 x 486 ) / 972
= 36 / 486
= 36
Step3:
LCM(18, 225) = 450
GCD(18, 225) = ( 18 x 225 ) / 450
= 18 / 225
= 18
So, Greatest Common Divisor of 432, 828, 486, 225 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 828, 486, 225
The greatest common divisor of numbers 432, 828, 486, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 828, 486, 225 is 9.
1. What is the GCD of 432, 828, 486, 225?
GCD of given numbers 432, 828, 486, 225 is 9
2. How to calculate the greatest common divisor of 432, 828, 486, 225?
We can find the highest common divisor of 432, 828, 486, 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 432, 828, 486, 225 i.e 9.
3. How can I use the GCD of 432, 828, 486, 225Calculator?
Out the numbers 432, 828, 486, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.