Online GCD Calculator is useful to find the GCD of 798, 916, 472, 904 quickly. Get the easiest ways to solve the greatest common divisor of 798, 916, 472, 904 i.e 2 in different methods as follows.
Given Input numbers are 798, 916, 472, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 (798, 916, 472, 904) = 2.
Given numbers are 798, 916, 472, 904
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 916 are 2 x 2 x 229
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 798, 916, 472, 904 is 2.
Given numbers are 798, 916, 472, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 916) = 365484
GCD(798, 916) = ( 798 x 916 ) / 365484
= 798 / 916
= 798
Step2:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 798, 916, 472, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 916, 472, 904
The greatest common divisor of numbers 798, 916, 472, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 916, 472, 904 is 2.
1. What is the GCD of 798, 916, 472, 904?
GCD of given numbers 798, 916, 472, 904 is 2
2. How to calculate the greatest common divisor of 798, 916, 472, 904?
We can find the highest common divisor of 798, 916, 472, 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 798, 916, 472, 904 i.e 2.
3. How can I use the GCD of 798, 916, 472, 904Calculator?
Out the numbers 798, 916, 472, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.