Online GCD Calculator is useful to find the GCD of 823, 112, 904, 355 quickly. Get the easiest ways to solve the greatest common divisor of 823, 112, 904, 355 i.e 1 in different methods as follows.
Given Input numbers are 823, 112, 904, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (823, 112, 904, 355) = 1.
Given numbers are 823, 112, 904, 355
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 823, 112, 904, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 112) = 92176
GCD(823, 112) = ( 823 x 112 ) / 92176
= 823 / 112
= 823
Step2:
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
= 1 / 904
= 1
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 823, 112, 904, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 823, 112, 904, 355
The greatest common divisor of numbers 823, 112, 904, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 112, 904, 355 is 1.
1. What is the GCD of 823, 112, 904, 355?
GCD of given numbers 823, 112, 904, 355 is 1
2. How to calculate the greatest common divisor of 823, 112, 904, 355?
We can find the highest common divisor of 823, 112, 904, 355 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 823, 112, 904, 355 i.e 1.
3. How can I use the GCD of 823, 112, 904, 355Calculator?
Out the numbers 823, 112, 904, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.