Online GCD Calculator is useful to find the GCD of 120, 406, 392, 317 quickly. Get the easiest ways to solve the greatest common divisor of 120, 406, 392, 317 i.e 1 in different methods as follows.
Given Input numbers are 120, 406, 392, 317
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 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
GCD of numbers is the greatest common divisor
So, the GCD (120, 406, 392, 317) = 1.
Given numbers are 120, 406, 392, 317
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 406 are 2 x 7 x 29
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 317 are 317
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 406, 392, 317
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 406) = 24360
GCD(120, 406) = ( 120 x 406 ) / 24360
= 120 / 406
= 120
Step2:
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
= 2 / 392
= 2
Step3:
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
= 2 / 317
= 2
So, Greatest Common Divisor of 120, 406, 392, 317 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 406, 392, 317
The greatest common divisor of numbers 120, 406, 392, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 406, 392, 317 is 1.
1. What is the GCD of 120, 406, 392, 317?
GCD of given numbers 120, 406, 392, 317 is 1
2. How to calculate the greatest common divisor of 120, 406, 392, 317?
We can find the highest common divisor of 120, 406, 392, 317 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, 406, 392, 317 i.e 1.
3. How can I use the GCD of 120, 406, 392, 317Calculator?
Out the numbers 120, 406, 392, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.