Online GCD Calculator is useful to find the GCD of 360, 963, 313, 309 quickly. Get the easiest ways to solve the greatest common divisor of 360, 963, 313, 309 i.e 1 in different methods as follows.
Given Input numbers are 360, 963, 313, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
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 (360, 963, 313, 309) = 1.
Given numbers are 360, 963, 313, 309
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 963 are 3 x 3 x 107
Prime factors of 313 are 313
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 360, 963, 313, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 963) = 38520
GCD(360, 963) = ( 360 x 963 ) / 38520
= 360 / 963
= 360
Step2:
LCM(9, 313) = 2817
GCD(9, 313) = ( 9 x 313 ) / 2817
= 9 / 313
= 9
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 360, 963, 313, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 963, 313, 309
The greatest common divisor of numbers 360, 963, 313, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 963, 313, 309 is 1.
1. What is the GCD of 360, 963, 313, 309?
GCD of given numbers 360, 963, 313, 309 is 1
2. How to calculate the greatest common divisor of 360, 963, 313, 309?
We can find the highest common divisor of 360, 963, 313, 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 360, 963, 313, 309 i.e 1.
3. How can I use the GCD of 360, 963, 313, 309Calculator?
Out the numbers 360, 963, 313, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.