Online GCD Calculator is useful to find the GCD of 809, 176, 314, 828 quickly. Get the easiest ways to solve the greatest common divisor of 809, 176, 314, 828 i.e 1 in different methods as follows.
Given Input numbers are 809, 176, 314, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (809, 176, 314, 828) = 1.
Given numbers are 809, 176, 314, 828
The list of prime factors of all numbers are
Prime factors of 809 are 809
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 314 are 2 x 157
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 809, 176, 314, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(809, 176) = 142384
GCD(809, 176) = ( 809 x 176 ) / 142384
= 809 / 176
= 809
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 809, 176, 314, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 809, 176, 314, 828
The greatest common divisor of numbers 809, 176, 314, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 809, 176, 314, 828 is 1.
1. What is the GCD of 809, 176, 314, 828?
GCD of given numbers 809, 176, 314, 828 is 1
2. How to calculate the greatest common divisor of 809, 176, 314, 828?
We can find the highest common divisor of 809, 176, 314, 828 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 809, 176, 314, 828 i.e 1.
3. How can I use the GCD of 809, 176, 314, 828Calculator?
Out the numbers 809, 176, 314, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.