Online GCD Calculator is useful to find the GCD of 204, 711, 138, 183 quickly. Get the easiest ways to solve the greatest common divisor of 204, 711, 138, 183 i.e 3 in different methods as follows.
Given Input numbers are 204, 711, 138, 183
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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 (204, 711, 138, 183) = 3.
Given numbers are 204, 711, 138, 183
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 711 are 3 x 3 x 79
Prime factors of 138 are 2 x 3 x 23
Prime factors of 183 are 3 x 61
The highest common occurrence is 31
Therefore, GCD of 204, 711, 138, 183 is 3.
Given numbers are 204, 711, 138, 183
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 711) = 48348
GCD(204, 711) = ( 204 x 711 ) / 48348
= 204 / 711
= 204
Step2:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
Step3:
LCM(3, 183) = 183
GCD(3, 183) = ( 3 x 183 ) / 183
= 3 / 183
= 3
So, Greatest Common Divisor of 204, 711, 138, 183 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 711, 138, 183
The greatest common divisor of numbers 204, 711, 138, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 711, 138, 183 is 3.
1. What is the GCD of 204, 711, 138, 183?
GCD of given numbers 204, 711, 138, 183 is 3
2. How to calculate the greatest common divisor of 204, 711, 138, 183?
We can find the highest common divisor of 204, 711, 138, 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 204, 711, 138, 183 i.e 3.
3. How can I use the GCD of 204, 711, 138, 183Calculator?
Out the numbers 204, 711, 138, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.