Online GCD Calculator is useful to find the GCD of 800, 281, 871, 864 quickly. Get the easiest ways to solve the greatest common divisor of 800, 281, 871, 864 i.e 1 in different methods as follows.
Given Input numbers are 800, 281, 871, 864
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 281 :
The positive integer divisors of 281 that completely divides 281 are.
1, 281
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (800, 281, 871, 864) = 1.
Given numbers are 800, 281, 871, 864
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 281 are 281
Prime factors of 871 are 13 x 67
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 281, 871, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 281) = 224800
GCD(800, 281) = ( 800 x 281 ) / 224800
= 800 / 281
= 800
Step2:
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
= 1 / 871
= 1
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 800, 281, 871, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 281, 871, 864
The greatest common divisor of numbers 800, 281, 871, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 281, 871, 864 is 1.
1. What is the GCD of 800, 281, 871, 864?
GCD of given numbers 800, 281, 871, 864 is 1
2. How to calculate the greatest common divisor of 800, 281, 871, 864?
We can find the highest common divisor of 800, 281, 871, 864 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, 281, 871, 864 i.e 1.
3. How can I use the GCD of 800, 281, 871, 864Calculator?
Out the numbers 800, 281, 871, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.