Online GCD Calculator is useful to find the GCD of 304, 442, 471, 135 quickly. Get the easiest ways to solve the greatest common divisor of 304, 442, 471, 135 i.e 1 in different methods as follows.
Given Input numbers are 304, 442, 471, 135
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (304, 442, 471, 135) = 1.
Given numbers are 304, 442, 471, 135
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 442 are 2 x 13 x 17
Prime factors of 471 are 3 x 157
Prime factors of 135 are 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, 442, 471, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(304, 442) = 67184
GCD(304, 442) = ( 304 x 442 ) / 67184
= 304 / 442
= 304
Step2:
LCM(2, 471) = 942
GCD(2, 471) = ( 2 x 471 ) / 942
= 2 / 471
= 2
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 304, 442, 471, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 304, 442, 471, 135
The greatest common divisor of numbers 304, 442, 471, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 442, 471, 135 is 1.
1. What is the GCD of 304, 442, 471, 135?
GCD of given numbers 304, 442, 471, 135 is 1
2. How to calculate the greatest common divisor of 304, 442, 471, 135?
We can find the highest common divisor of 304, 442, 471, 135 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, 442, 471, 135 i.e 1.
3. How can I use the GCD of 304, 442, 471, 135Calculator?
Out the numbers 304, 442, 471, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.