Online GCD Calculator is useful to find the GCD of 444, 309, 318, 138 quickly. Get the easiest ways to solve the greatest common divisor of 444, 309, 318, 138 i.e 3 in different methods as follows.
Given Input numbers are 444, 309, 318, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (444, 309, 318, 138) = 3.
Given numbers are 444, 309, 318, 138
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 309 are 3 x 103
Prime factors of 318 are 2 x 3 x 53
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 444, 309, 318, 138 is 3.
Given numbers are 444, 309, 318, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 309) = 45732
GCD(444, 309) = ( 444 x 309 ) / 45732
= 444 / 309
= 444
Step2:
LCM(3, 318) = 318
GCD(3, 318) = ( 3 x 318 ) / 318
= 3 / 318
= 3
Step3:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
So, Greatest Common Divisor of 444, 309, 318, 138 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 444, 309, 318, 138
The greatest common divisor of numbers 444, 309, 318, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 309, 318, 138 is 3.
1. What is the GCD of 444, 309, 318, 138?
GCD of given numbers 444, 309, 318, 138 is 3
2. How to calculate the greatest common divisor of 444, 309, 318, 138?
We can find the highest common divisor of 444, 309, 318, 138 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 444, 309, 318, 138 i.e 3.
3. How can I use the GCD of 444, 309, 318, 138Calculator?
Out the numbers 444, 309, 318, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.