Online GCD Calculator is useful to find the GCD of 317, 465, 133, 169 quickly. Get the easiest ways to solve the greatest common divisor of 317, 465, 133, 169 i.e 1 in different methods as follows.
Given Input numbers are 317, 465, 133, 169
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (317, 465, 133, 169) = 1.
Given numbers are 317, 465, 133, 169
The list of prime factors of all numbers are
Prime factors of 317 are 317
Prime factors of 465 are 3 x 5 x 31
Prime factors of 133 are 7 x 19
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 317, 465, 133, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(317, 465) = 147405
GCD(317, 465) = ( 317 x 465 ) / 147405
= 317 / 465
= 317
Step2:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
Step3:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
So, Greatest Common Divisor of 317, 465, 133, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 317, 465, 133, 169
The greatest common divisor of numbers 317, 465, 133, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 465, 133, 169 is 1.
1. What is the GCD of 317, 465, 133, 169?
GCD of given numbers 317, 465, 133, 169 is 1
2. How to calculate the greatest common divisor of 317, 465, 133, 169?
We can find the highest common divisor of 317, 465, 133, 169 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, 465, 133, 169 i.e 1.
3. How can I use the GCD of 317, 465, 133, 169Calculator?
Out the numbers 317, 465, 133, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.