Online GCD Calculator is useful to find the GCD of 270, 117, 323, 133 quickly. Get the easiest ways to solve the greatest common divisor of 270, 117, 323, 133 i.e 1 in different methods as follows.
Given Input numbers are 270, 117, 323, 133
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (270, 117, 323, 133) = 1.
Given numbers are 270, 117, 323, 133
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 117 are 3 x 3 x 13
Prime factors of 323 are 17 x 19
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 117, 323, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 117) = 3510
GCD(270, 117) = ( 270 x 117 ) / 3510
= 270 / 117
= 270
Step2:
LCM(9, 323) = 2907
GCD(9, 323) = ( 9 x 323 ) / 2907
= 9 / 323
= 9
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 270, 117, 323, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 117, 323, 133
The greatest common divisor of numbers 270, 117, 323, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 117, 323, 133 is 1.
1. What is the GCD of 270, 117, 323, 133?
GCD of given numbers 270, 117, 323, 133 is 1
2. How to calculate the greatest common divisor of 270, 117, 323, 133?
We can find the highest common divisor of 270, 117, 323, 133 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 270, 117, 323, 133 i.e 1.
3. How can I use the GCD of 270, 117, 323, 133Calculator?
Out the numbers 270, 117, 323, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.