Online GCD Calculator is useful to find the GCD of 386, 472, 784, 309 quickly. Get the easiest ways to solve the greatest common divisor of 386, 472, 784, 309 i.e 1 in different methods as follows.
Given Input numbers are 386, 472, 784, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (386, 472, 784, 309) = 1.
Given numbers are 386, 472, 784, 309
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 386, 472, 784, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 472) = 91096
GCD(386, 472) = ( 386 x 472 ) / 91096
= 386 / 472
= 386
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 386, 472, 784, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 472, 784, 309
The greatest common divisor of numbers 386, 472, 784, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 472, 784, 309 is 1.
1. What is the GCD of 386, 472, 784, 309?
GCD of given numbers 386, 472, 784, 309 is 1
2. How to calculate the greatest common divisor of 386, 472, 784, 309?
We can find the highest common divisor of 386, 472, 784, 309 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 386, 472, 784, 309 i.e 1.
3. How can I use the GCD of 386, 472, 784, 309Calculator?
Out the numbers 386, 472, 784, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.