Online GCD Calculator is useful to find the GCD of 189, 798, 561, 183 quickly. Get the easiest ways to solve the greatest common divisor of 189, 798, 561, 183 i.e 3 in different methods as follows.
Given Input numbers are 189, 798, 561, 183
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
GCD of numbers is the greatest common divisor
So, the GCD (189, 798, 561, 183) = 3.
Given numbers are 189, 798, 561, 183
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 561 are 3 x 11 x 17
Prime factors of 183 are 3 x 61
The highest common occurrence is 31
Therefore, GCD of 189, 798, 561, 183 is 3.
Given numbers are 189, 798, 561, 183
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 798) = 7182
GCD(189, 798) = ( 189 x 798 ) / 7182
= 189 / 798
= 189
Step2:
LCM(21, 561) = 3927
GCD(21, 561) = ( 21 x 561 ) / 3927
= 21 / 561
= 21
Step3:
LCM(3, 183) = 183
GCD(3, 183) = ( 3 x 183 ) / 183
= 3 / 183
= 3
So, Greatest Common Divisor of 189, 798, 561, 183 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 798, 561, 183
The greatest common divisor of numbers 189, 798, 561, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 798, 561, 183 is 3.
1. What is the GCD of 189, 798, 561, 183?
GCD of given numbers 189, 798, 561, 183 is 3
2. How to calculate the greatest common divisor of 189, 798, 561, 183?
We can find the highest common divisor of 189, 798, 561, 183 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 189, 798, 561, 183 i.e 3.
3. How can I use the GCD of 189, 798, 561, 183Calculator?
Out the numbers 189, 798, 561, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.