Online GCD Calculator is useful to find the GCD of 984, 500, 364, 313 quickly. Get the easiest ways to solve the greatest common divisor of 984, 500, 364, 313 i.e 1 in different methods as follows.
Given Input numbers are 984, 500, 364, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (984, 500, 364, 313) = 1.
Given numbers are 984, 500, 364, 313
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 984, 500, 364, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 500) = 123000
GCD(984, 500) = ( 984 x 500 ) / 123000
= 984 / 500
= 984
Step2:
LCM(4, 364) = 364
GCD(4, 364) = ( 4 x 364 ) / 364
= 4 / 364
= 4
Step3:
LCM(4, 313) = 1252
GCD(4, 313) = ( 4 x 313 ) / 1252
= 4 / 313
= 4
So, Greatest Common Divisor of 984, 500, 364, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 500, 364, 313
The greatest common divisor of numbers 984, 500, 364, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 500, 364, 313 is 1.
1. What is the GCD of 984, 500, 364, 313?
GCD of given numbers 984, 500, 364, 313 is 1
2. How to calculate the greatest common divisor of 984, 500, 364, 313?
We can find the highest common divisor of 984, 500, 364, 313 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 984, 500, 364, 313 i.e 1.
3. How can I use the GCD of 984, 500, 364, 313Calculator?
Out the numbers 984, 500, 364, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.