Online GCD Calculator is useful to find the GCD of 393, 978, 384, 782 quickly. Get the easiest ways to solve the greatest common divisor of 393, 978, 384, 782 i.e 1 in different methods as follows.
Given Input numbers are 393, 978, 384, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (393, 978, 384, 782) = 1.
Given numbers are 393, 978, 384, 782
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 978 are 2 x 3 x 163
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 393, 978, 384, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 978) = 128118
GCD(393, 978) = ( 393 x 978 ) / 128118
= 393 / 978
= 393
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
Step3:
LCM(3, 782) = 2346
GCD(3, 782) = ( 3 x 782 ) / 2346
= 3 / 782
= 3
So, Greatest Common Divisor of 393, 978, 384, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 978, 384, 782
The greatest common divisor of numbers 393, 978, 384, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 978, 384, 782 is 1.
1. What is the GCD of 393, 978, 384, 782?
GCD of given numbers 393, 978, 384, 782 is 1
2. How to calculate the greatest common divisor of 393, 978, 384, 782?
We can find the highest common divisor of 393, 978, 384, 782 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 393, 978, 384, 782 i.e 1.
3. How can I use the GCD of 393, 978, 384, 782Calculator?
Out the numbers 393, 978, 384, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.