Online GCD Calculator is useful to find the GCD of 988, 793, 975 quickly. Get the easiest ways to solve the greatest common divisor of 988, 793, 975 i.e 13 in different methods as follows.
Given Input numbers are 988, 793, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 793 :
The positive integer divisors of 793 that completely divides 793 are.
1, 13, 61, 793
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (988, 793, 975) = 13.
Given numbers are 988, 793, 975
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 793 are 13 x 61
Prime factors of 975 are 3 x 5 x 5 x 13
The highest common occurrence is 131
Therefore, GCD of 988, 793, 975 is 13.
Given numbers are 988, 793, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 793) = 60268
GCD(988, 793) = ( 988 x 793 ) / 60268
= 988 / 793
= 988
Step2:
LCM(13, 975) = 975
GCD(13, 975) = ( 13 x 975 ) / 975
= 13 / 975
= 13
So, Greatest Common Divisor of 988, 793, 975 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 793, 975
The greatest common divisor of numbers 988, 793, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 793, 975 is 13.
1. What is the GCD of 988, 793, 975?
GCD of given numbers 988, 793, 975 is 13
2. How to calculate the greatest common divisor of 988, 793, 975?
We can find the highest common divisor of 988, 793, 975 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 988, 793, 975 i.e 13.
3. How can I use the GCD of 988, 793, 975Calculator?
Out the numbers 988, 793, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.