Online GCD Calculator is useful to find the GCD of 108, 970, 393, 981 quickly. Get the easiest ways to solve the greatest common divisor of 108, 970, 393, 981 i.e 1 in different methods as follows.
Given Input numbers are 108, 970, 393, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (108, 970, 393, 981) = 1.
Given numbers are 108, 970, 393, 981
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 970 are 2 x 5 x 97
Prime factors of 393 are 3 x 131
Prime factors of 981 are 3 x 3 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 970, 393, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 970) = 52380
GCD(108, 970) = ( 108 x 970 ) / 52380
= 108 / 970
= 108
Step2:
LCM(2, 393) = 786
GCD(2, 393) = ( 2 x 393 ) / 786
= 2 / 393
= 2
Step3:
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
= 1 / 981
= 1
So, Greatest Common Divisor of 108, 970, 393, 981 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 970, 393, 981
The greatest common divisor of numbers 108, 970, 393, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 970, 393, 981 is 1.
1. What is the GCD of 108, 970, 393, 981?
GCD of given numbers 108, 970, 393, 981 is 1
2. How to calculate the greatest common divisor of 108, 970, 393, 981?
We can find the highest common divisor of 108, 970, 393, 981 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 108, 970, 393, 981 i.e 1.
3. How can I use the GCD of 108, 970, 393, 981Calculator?
Out the numbers 108, 970, 393, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.