Online GCD Calculator is useful to find the GCD of 120, 646, 317, 744 quickly. Get the easiest ways to solve the greatest common divisor of 120, 646, 317, 744 i.e 1 in different methods as follows.
Given Input numbers are 120, 646, 317, 744
In the factoring method, we have to find the divisors of all numbers
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (120, 646, 317, 744) = 1.
Given numbers are 120, 646, 317, 744
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 646 are 2 x 17 x 19
Prime factors of 317 are 317
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 646, 317, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 646) = 38760
GCD(120, 646) = ( 120 x 646 ) / 38760
= 120 / 646
= 120
Step2:
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
= 2 / 317
= 2
Step3:
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
= 1 / 744
= 1
So, Greatest Common Divisor of 120, 646, 317, 744 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 646, 317, 744
The greatest common divisor of numbers 120, 646, 317, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 646, 317, 744 is 1.
1. What is the GCD of 120, 646, 317, 744?
GCD of given numbers 120, 646, 317, 744 is 1
2. How to calculate the greatest common divisor of 120, 646, 317, 744?
We can find the highest common divisor of 120, 646, 317, 744 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 120, 646, 317, 744 i.e 1.
3. How can I use the GCD of 120, 646, 317, 744Calculator?
Out the numbers 120, 646, 317, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.