Online GCD Calculator is useful to find the GCD of 442, 109, 872, 904 quickly. Get the easiest ways to solve the greatest common divisor of 442, 109, 872, 904 i.e 1 in different methods as follows.
Given Input numbers are 442, 109, 872, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (442, 109, 872, 904) = 1.
Given numbers are 442, 109, 872, 904
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 109 are 109
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 904 are 2 x 2 x 2 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 442, 109, 872, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 109) = 48178
GCD(442, 109) = ( 442 x 109 ) / 48178
= 442 / 109
= 442
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
= 1 / 904
= 1
So, Greatest Common Divisor of 442, 109, 872, 904 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 109, 872, 904
The greatest common divisor of numbers 442, 109, 872, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 109, 872, 904 is 1.
1. What is the GCD of 442, 109, 872, 904?
GCD of given numbers 442, 109, 872, 904 is 1
2. How to calculate the greatest common divisor of 442, 109, 872, 904?
We can find the highest common divisor of 442, 109, 872, 904 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 442, 109, 872, 904 i.e 1.
3. How can I use the GCD of 442, 109, 872, 904Calculator?
Out the numbers 442, 109, 872, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.