Online GCD Calculator is useful to find the GCD of 800, 814, 39 quickly. Get the easiest ways to solve the greatest common divisor of 800, 814, 39 i.e 1 in different methods as follows.
Given Input numbers are 800, 814, 39
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 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 39 :
The positive integer divisors of 39 that completely divides 39 are.
1, 3, 13, 39
GCD of numbers is the greatest common divisor
So, the GCD (800, 814, 39) = 1.
Given numbers are 800, 814, 39
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 814 are 2 x 11 x 37
Prime factors of 39 are 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 814, 39
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 814) = 325600
GCD(800, 814) = ( 800 x 814 ) / 325600
= 800 / 814
= 800
Step2:
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
= 2 / 39
= 2
So, Greatest Common Divisor of 800, 814, 39 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 814, 39
The greatest common divisor of numbers 800, 814, 39 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 814, 39 is 1.
1. What is the GCD of 800, 814, 39?
GCD of given numbers 800, 814, 39 is 1
2. How to calculate the greatest common divisor of 800, 814, 39?
We can find the highest common divisor of 800, 814, 39 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, 814, 39 i.e 1.
3. How can I use the GCD of 800, 814, 39Calculator?
Out the numbers 800, 814, 39 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.