Online GCD Calculator is useful to find the GCD of 800, 798, 904, 823 quickly. Get the easiest ways to solve the greatest common divisor of 800, 798, 904, 823 i.e 1 in different methods as follows.
Given Input numbers are 800, 798, 904, 823
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
GCD of numbers is the greatest common divisor
So, the GCD (800, 798, 904, 823) = 1.
Given numbers are 800, 798, 904, 823
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 823 are 823
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 798, 904, 823
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 798) = 319200
GCD(800, 798) = ( 800 x 798 ) / 319200
= 800 / 798
= 800
Step2:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
Step3:
LCM(2, 823) = 1646
GCD(2, 823) = ( 2 x 823 ) / 1646
= 2 / 823
= 2
So, Greatest Common Divisor of 800, 798, 904, 823 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 798, 904, 823
The greatest common divisor of numbers 800, 798, 904, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 798, 904, 823 is 1.
1. What is the GCD of 800, 798, 904, 823?
GCD of given numbers 800, 798, 904, 823 is 1
2. How to calculate the greatest common divisor of 800, 798, 904, 823?
We can find the highest common divisor of 800, 798, 904, 823 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 800, 798, 904, 823 i.e 1.
3. How can I use the GCD of 800, 798, 904, 823Calculator?
Out the numbers 800, 798, 904, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.