Online GCD Calculator is useful to find the GCD of 817, 480, 721, 828 quickly. Get the easiest ways to solve the greatest common divisor of 817, 480, 721, 828 i.e 1 in different methods as follows.
Given Input numbers are 817, 480, 721, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 817 :
The positive integer divisors of 817 that completely divides 817 are.
1, 19, 43, 817
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
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 (817, 480, 721, 828) = 1.
Given numbers are 817, 480, 721, 828
The list of prime factors of all numbers are
Prime factors of 817 are 19 x 43
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 721 are 7 x 103
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 817, 480, 721, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(817, 480) = 392160
GCD(817, 480) = ( 817 x 480 ) / 392160
= 817 / 480
= 817
Step2:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 817, 480, 721, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 817, 480, 721, 828
The greatest common divisor of numbers 817, 480, 721, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 817, 480, 721, 828 is 1.
1. What is the GCD of 817, 480, 721, 828?
GCD of given numbers 817, 480, 721, 828 is 1
2. How to calculate the greatest common divisor of 817, 480, 721, 828?
We can find the highest common divisor of 817, 480, 721, 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 817, 480, 721, 828 i.e 1.
3. How can I use the GCD of 817, 480, 721, 828Calculator?
Out the numbers 817, 480, 721, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.