Online GCD Calculator is useful to find the GCD of 342, 306, 183 quickly. Get the easiest ways to solve the greatest common divisor of 342, 306, 183 i.e 3 in different methods as follows.
Given Input numbers are 342, 306, 183
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 (342, 306, 183) = 3.
Given numbers are 342, 306, 183
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 183 are 3 x 61
The highest common occurrence is 31
Therefore, GCD of 342, 306, 183 is 3.
Given numbers are 342, 306, 183
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 306) = 5814
GCD(342, 306) = ( 342 x 306 ) / 5814
= 342 / 306
= 342
Step2:
LCM(18, 183) = 1098
GCD(18, 183) = ( 18 x 183 ) / 1098
= 18 / 183
= 18
So, Greatest Common Divisor of 342, 306, 183 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 306, 183
The greatest common divisor of numbers 342, 306, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 306, 183 is 3.
1. What is the GCD of 342, 306, 183?
GCD of given numbers 342, 306, 183 is 3
2. How to calculate the greatest common divisor of 342, 306, 183?
We can find the highest common divisor of 342, 306, 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 342, 306, 183 i.e 3.
3. How can I use the GCD of 342, 306, 183Calculator?
Out the numbers 342, 306, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.