Online GCD Calculator is useful to find the GCD of 317, 987, 338, 362 quickly. Get the easiest ways to solve the greatest common divisor of 317, 987, 338, 362 i.e 1 in different methods as follows.
Given Input numbers are 317, 987, 338, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (317, 987, 338, 362) = 1.
Given numbers are 317, 987, 338, 362
The list of prime factors of all numbers are
Prime factors of 317 are 317
Prime factors of 987 are 3 x 7 x 47
Prime factors of 338 are 2 x 13 x 13
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 317, 987, 338, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(317, 987) = 312879
GCD(317, 987) = ( 317 x 987 ) / 312879
= 317 / 987
= 317
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
So, Greatest Common Divisor of 317, 987, 338, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 317, 987, 338, 362
The greatest common divisor of numbers 317, 987, 338, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 987, 338, 362 is 1.
1. What is the GCD of 317, 987, 338, 362?
GCD of given numbers 317, 987, 338, 362 is 1
2. How to calculate the greatest common divisor of 317, 987, 338, 362?
We can find the highest common divisor of 317, 987, 338, 362 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 317, 987, 338, 362 i.e 1.
3. How can I use the GCD of 317, 987, 338, 362Calculator?
Out the numbers 317, 987, 338, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.