Online GCD Calculator is useful to find the GCD of 960, 793, 398, 309 quickly. Get the easiest ways to solve the greatest common divisor of 960, 793, 398, 309 i.e 1 in different methods as follows.
Given Input numbers are 960, 793, 398, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 793 :
The positive integer divisors of 793 that completely divides 793 are.
1, 13, 61, 793
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
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 (960, 793, 398, 309) = 1.
Given numbers are 960, 793, 398, 309
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 793 are 13 x 61
Prime factors of 398 are 2 x 199
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 960, 793, 398, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 793) = 761280
GCD(960, 793) = ( 960 x 793 ) / 761280
= 960 / 793
= 960
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 960, 793, 398, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 793, 398, 309
The greatest common divisor of numbers 960, 793, 398, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 793, 398, 309 is 1.
1. What is the GCD of 960, 793, 398, 309?
GCD of given numbers 960, 793, 398, 309 is 1
2. How to calculate the greatest common divisor of 960, 793, 398, 309?
We can find the highest common divisor of 960, 793, 398, 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 960, 793, 398, 309 i.e 1.
3. How can I use the GCD of 960, 793, 398, 309Calculator?
Out the numbers 960, 793, 398, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.