Online GCD Calculator is useful to find the GCD of 317, 143, 22, 297 quickly. Get the easiest ways to solve the greatest common divisor of 317, 143, 22, 297 i.e 1 in different methods as follows.
Given Input numbers are 317, 143, 22, 297
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 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (317, 143, 22, 297) = 1.
Given numbers are 317, 143, 22, 297
The list of prime factors of all numbers are
Prime factors of 317 are 317
Prime factors of 143 are 11 x 13
Prime factors of 22 are 2 x 11
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 317, 143, 22, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(317, 143) = 45331
GCD(317, 143) = ( 317 x 143 ) / 45331
= 317 / 143
= 317
Step2:
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
= 1 / 22
= 1
Step3:
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
= 1 / 297
= 1
So, Greatest Common Divisor of 317, 143, 22, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 317, 143, 22, 297
The greatest common divisor of numbers 317, 143, 22, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 143, 22, 297 is 1.
1. What is the GCD of 317, 143, 22, 297?
GCD of given numbers 317, 143, 22, 297 is 1
2. How to calculate the greatest common divisor of 317, 143, 22, 297?
We can find the highest common divisor of 317, 143, 22, 297 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, 143, 22, 297 i.e 1.
3. How can I use the GCD of 317, 143, 22, 297Calculator?
Out the numbers 317, 143, 22, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.