Online GCD Calculator is useful to find the GCD of 313, 758, 371, 198 quickly. Get the easiest ways to solve the greatest common divisor of 313, 758, 371, 198 i.e 1 in different methods as follows.
Given Input numbers are 313, 758, 371, 198
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 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (313, 758, 371, 198) = 1.
Given numbers are 313, 758, 371, 198
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 758 are 2 x 379
Prime factors of 371 are 7 x 53
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 758, 371, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 758) = 237254
GCD(313, 758) = ( 313 x 758 ) / 237254
= 313 / 758
= 313
Step2:
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
= 1 / 371
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 313, 758, 371, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 758, 371, 198
The greatest common divisor of numbers 313, 758, 371, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 758, 371, 198 is 1.
1. What is the GCD of 313, 758, 371, 198?
GCD of given numbers 313, 758, 371, 198 is 1
2. How to calculate the greatest common divisor of 313, 758, 371, 198?
We can find the highest common divisor of 313, 758, 371, 198 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, 758, 371, 198 i.e 1.
3. How can I use the GCD of 313, 758, 371, 198Calculator?
Out the numbers 313, 758, 371, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.