Online GCD Calculator is useful to find the GCD of 304, 123, 143, 270 quickly. Get the easiest ways to solve the greatest common divisor of 304, 123, 143, 270 i.e 1 in different methods as follows.
Given Input numbers are 304, 123, 143, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
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
GCD of numbers is the greatest common divisor
So, the GCD (304, 123, 143, 270) = 1.
Given numbers are 304, 123, 143, 270
The list of prime factors of all numbers are
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 123 are 3 x 41
Prime factors of 143 are 11 x 13
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 304, 123, 143, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(304, 123) = 37392
GCD(304, 123) = ( 304 x 123 ) / 37392
= 304 / 123
= 304
Step2:
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
= 1 / 143
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 304, 123, 143, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 304, 123, 143, 270
The greatest common divisor of numbers 304, 123, 143, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 123, 143, 270 is 1.
1. What is the GCD of 304, 123, 143, 270?
GCD of given numbers 304, 123, 143, 270 is 1
2. How to calculate the greatest common divisor of 304, 123, 143, 270?
We can find the highest common divisor of 304, 123, 143, 270 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 304, 123, 143, 270 i.e 1.
3. How can I use the GCD of 304, 123, 143, 270Calculator?
Out the numbers 304, 123, 143, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.