Online GCD Calculator is useful to find the GCD of 789, 717, 120, 938 quickly. Get the easiest ways to solve the greatest common divisor of 789, 717, 120, 938 i.e 1 in different methods as follows.
Given Input numbers are 789, 717, 120, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (789, 717, 120, 938) = 1.
Given numbers are 789, 717, 120, 938
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 717 are 3 x 239
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 938 are 2 x 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 717, 120, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 717) = 188571
GCD(789, 717) = ( 789 x 717 ) / 188571
= 789 / 717
= 789
Step2:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
Step3:
LCM(3, 938) = 2814
GCD(3, 938) = ( 3 x 938 ) / 2814
= 3 / 938
= 3
So, Greatest Common Divisor of 789, 717, 120, 938 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 717, 120, 938
The greatest common divisor of numbers 789, 717, 120, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 717, 120, 938 is 1.
1. What is the GCD of 789, 717, 120, 938?
GCD of given numbers 789, 717, 120, 938 is 1
2. How to calculate the greatest common divisor of 789, 717, 120, 938?
We can find the highest common divisor of 789, 717, 120, 938 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 789, 717, 120, 938 i.e 1.
3. How can I use the GCD of 789, 717, 120, 938Calculator?
Out the numbers 789, 717, 120, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.