Online GCD Calculator is useful to find the GCD of 828, 189, 222 quickly. Get the easiest ways to solve the greatest common divisor of 828, 189, 222 i.e 3 in different methods as follows.
Given Input numbers are 828, 189, 222
In the factoring method, we have to find the divisors of all numbers
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (828, 189, 222) = 3.
Given numbers are 828, 189, 222
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 828, 189, 222 is 3.
Given numbers are 828, 189, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 189) = 17388
GCD(828, 189) = ( 828 x 189 ) / 17388
= 828 / 189
= 828
Step2:
LCM(9, 222) = 666
GCD(9, 222) = ( 9 x 222 ) / 666
= 9 / 222
= 9
So, Greatest Common Divisor of 828, 189, 222 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 189, 222
The greatest common divisor of numbers 828, 189, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 189, 222 is 3.
1. What is the GCD of 828, 189, 222?
GCD of given numbers 828, 189, 222 is 3
2. How to calculate the greatest common divisor of 828, 189, 222?
We can find the highest common divisor of 828, 189, 222 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 828, 189, 222 i.e 3.
3. How can I use the GCD of 828, 189, 222Calculator?
Out the numbers 828, 189, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.