Online GCD Calculator is useful to find the GCD of 313, 309, 224, 508 quickly. Get the easiest ways to solve the greatest common divisor of 313, 309, 224, 508 i.e 1 in different methods as follows.
Given Input numbers are 313, 309, 224, 508
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (313, 309, 224, 508) = 1.
Given numbers are 313, 309, 224, 508
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 309 are 3 x 103
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 508 are 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 309, 224, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 309) = 96717
GCD(313, 309) = ( 313 x 309 ) / 96717
= 313 / 309
= 313
Step2:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
Step3:
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
= 1 / 508
= 1
So, Greatest Common Divisor of 313, 309, 224, 508 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 309, 224, 508
The greatest common divisor of numbers 313, 309, 224, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 309, 224, 508 is 1.
1. What is the GCD of 313, 309, 224, 508?
GCD of given numbers 313, 309, 224, 508 is 1
2. How to calculate the greatest common divisor of 313, 309, 224, 508?
We can find the highest common divisor of 313, 309, 224, 508 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 313, 309, 224, 508 i.e 1.
3. How can I use the GCD of 313, 309, 224, 508Calculator?
Out the numbers 313, 309, 224, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.