Online GCD Calculator is useful to find the GCD of 800, 271, 864, 718 quickly. Get the easiest ways to solve the greatest common divisor of 800, 271, 864, 718 i.e 1 in different methods as follows.
Given Input numbers are 800, 271, 864, 718
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 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
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
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (800, 271, 864, 718) = 1.
Given numbers are 800, 271, 864, 718
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 271 are 271
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 718 are 2 x 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 271, 864, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 271) = 216800
GCD(800, 271) = ( 800 x 271 ) / 216800
= 800 / 271
= 800
Step2:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
Step3:
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
= 1 / 718
= 1
So, Greatest Common Divisor of 800, 271, 864, 718 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 271, 864, 718
The greatest common divisor of numbers 800, 271, 864, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 271, 864, 718 is 1.
1. What is the GCD of 800, 271, 864, 718?
GCD of given numbers 800, 271, 864, 718 is 1
2. How to calculate the greatest common divisor of 800, 271, 864, 718?
We can find the highest common divisor of 800, 271, 864, 718 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, 271, 864, 718 i.e 1.
3. How can I use the GCD of 800, 271, 864, 718Calculator?
Out the numbers 800, 271, 864, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.