Online GCD Calculator is useful to find the GCD of 309, 744, 109, 513 quickly. Get the easiest ways to solve the greatest common divisor of 309, 744, 109, 513 i.e 1 in different methods as follows.
Given Input numbers are 309, 744, 109, 513
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
GCD of numbers is the greatest common divisor
So, the GCD (309, 744, 109, 513) = 1.
Given numbers are 309, 744, 109, 513
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 109 are 109
Prime factors of 513 are 3 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 744, 109, 513
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 744) = 76632
GCD(309, 744) = ( 309 x 744 ) / 76632
= 309 / 744
= 309
Step2:
LCM(3, 109) = 327
GCD(3, 109) = ( 3 x 109 ) / 327
= 3 / 109
= 3
Step3:
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
= 1 / 513
= 1
So, Greatest Common Divisor of 309, 744, 109, 513 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 744, 109, 513
The greatest common divisor of numbers 309, 744, 109, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 744, 109, 513 is 1.
1. What is the GCD of 309, 744, 109, 513?
GCD of given numbers 309, 744, 109, 513 is 1
2. How to calculate the greatest common divisor of 309, 744, 109, 513?
We can find the highest common divisor of 309, 744, 109, 513 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, 744, 109, 513 i.e 1.
3. How can I use the GCD of 309, 744, 109, 513Calculator?
Out the numbers 309, 744, 109, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.