Online GCD Calculator is useful to find the GCD of 986, 270, 997, 789 quickly. Get the easiest ways to solve the greatest common divisor of 986, 270, 997, 789 i.e 1 in different methods as follows.
Given Input numbers are 986, 270, 997, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
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 (986, 270, 997, 789) = 1.
Given numbers are 986, 270, 997, 789
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 997 are 997
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 986, 270, 997, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 270) = 133110
GCD(986, 270) = ( 986 x 270 ) / 133110
= 986 / 270
= 986
Step2:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
Step3:
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
= 1 / 789
= 1
So, Greatest Common Divisor of 986, 270, 997, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 270, 997, 789
The greatest common divisor of numbers 986, 270, 997, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 270, 997, 789 is 1.
1. What is the GCD of 986, 270, 997, 789?
GCD of given numbers 986, 270, 997, 789 is 1
2. How to calculate the greatest common divisor of 986, 270, 997, 789?
We can find the highest common divisor of 986, 270, 997, 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 986, 270, 997, 789 i.e 1.
3. How can I use the GCD of 986, 270, 997, 789Calculator?
Out the numbers 986, 270, 997, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.