Online GCD Calculator is useful to find the GCD of 309, 642, 444, 313 quickly. Get the easiest ways to solve the greatest common divisor of 309, 642, 444, 313 i.e 1 in different methods as follows.
Given Input numbers are 309, 642, 444, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
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 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (309, 642, 444, 313) = 1.
Given numbers are 309, 642, 444, 313
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 642 are 2 x 3 x 107
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 642, 444, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 642) = 66126
GCD(309, 642) = ( 309 x 642 ) / 66126
= 309 / 642
= 309
Step2:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
Step3:
LCM(3, 313) = 939
GCD(3, 313) = ( 3 x 313 ) / 939
= 3 / 313
= 3
So, Greatest Common Divisor of 309, 642, 444, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 642, 444, 313
The greatest common divisor of numbers 309, 642, 444, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 642, 444, 313 is 1.
1. What is the GCD of 309, 642, 444, 313?
GCD of given numbers 309, 642, 444, 313 is 1
2. How to calculate the greatest common divisor of 309, 642, 444, 313?
We can find the highest common divisor of 309, 642, 444, 313 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 309, 642, 444, 313 i.e 1.
3. How can I use the GCD of 309, 642, 444, 313Calculator?
Out the numbers 309, 642, 444, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.