Online GCD Calculator is useful to find the GCD of 900, 888, 609, 198 quickly. Get the easiest ways to solve the greatest common divisor of 900, 888, 609, 198 i.e 3 in different methods as follows.
Given Input numbers are 900, 888, 609, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (900, 888, 609, 198) = 3.
Given numbers are 900, 888, 609, 198
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 609 are 3 x 7 x 29
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 900, 888, 609, 198 is 3.
Given numbers are 900, 888, 609, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 888) = 66600
GCD(900, 888) = ( 900 x 888 ) / 66600
= 900 / 888
= 900
Step2:
LCM(12, 609) = 2436
GCD(12, 609) = ( 12 x 609 ) / 2436
= 12 / 609
= 12
Step3:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
So, Greatest Common Divisor of 900, 888, 609, 198 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 888, 609, 198
The greatest common divisor of numbers 900, 888, 609, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 888, 609, 198 is 3.
1. What is the GCD of 900, 888, 609, 198?
GCD of given numbers 900, 888, 609, 198 is 3
2. How to calculate the greatest common divisor of 900, 888, 609, 198?
We can find the highest common divisor of 900, 888, 609, 198 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 900, 888, 609, 198 i.e 3.
3. How can I use the GCD of 900, 888, 609, 198Calculator?
Out the numbers 900, 888, 609, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.