Online GCD Calculator is useful to find the GCD of 800, 270, 818, 710 quickly. Get the easiest ways to solve the greatest common divisor of 800, 270, 818, 710 i.e 2 in different methods as follows.
Given Input numbers are 800, 270, 818, 710
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (800, 270, 818, 710) = 2.
Given numbers are 800, 270, 818, 710
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 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 818 are 2 x 409
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 800, 270, 818, 710 is 2.
Given numbers are 800, 270, 818, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 270) = 21600
GCD(800, 270) = ( 800 x 270 ) / 21600
= 800 / 270
= 800
Step2:
LCM(10, 818) = 4090
GCD(10, 818) = ( 10 x 818 ) / 4090
= 10 / 818
= 10
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 800, 270, 818, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 270, 818, 710
The greatest common divisor of numbers 800, 270, 818, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 270, 818, 710 is 2.
1. What is the GCD of 800, 270, 818, 710?
GCD of given numbers 800, 270, 818, 710 is 2
2. How to calculate the greatest common divisor of 800, 270, 818, 710?
We can find the highest common divisor of 800, 270, 818, 710 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, 270, 818, 710 i.e 2.
3. How can I use the GCD of 800, 270, 818, 710Calculator?
Out the numbers 800, 270, 818, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.