Online GCD Calculator is useful to find the GCD of 313, 738, 748, 789 quickly. Get the easiest ways to solve the greatest common divisor of 313, 738, 748, 789 i.e 1 in different methods as follows.
Given Input numbers are 313, 738, 748, 789
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (313, 738, 748, 789) = 1.
Given numbers are 313, 738, 748, 789
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 789 are 3 x 263
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 738, 748, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 738) = 230994
GCD(313, 738) = ( 313 x 738 ) / 230994
= 313 / 738
= 313
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
= 1 / 789
= 1
So, Greatest Common Divisor of 313, 738, 748, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 738, 748, 789
The greatest common divisor of numbers 313, 738, 748, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 738, 748, 789 is 1.
1. What is the GCD of 313, 738, 748, 789?
GCD of given numbers 313, 738, 748, 789 is 1
2. How to calculate the greatest common divisor of 313, 738, 748, 789?
We can find the highest common divisor of 313, 738, 748, 789 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, 738, 748, 789 i.e 1.
3. How can I use the GCD of 313, 738, 748, 789Calculator?
Out the numbers 313, 738, 748, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.