Online GCD Calculator is useful to find the GCD of 828, 488, 449, 682 quickly. Get the easiest ways to solve the greatest common divisor of 828, 488, 449, 682 i.e 1 in different methods as follows.
Given Input numbers are 828, 488, 449, 682
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (828, 488, 449, 682) = 1.
Given numbers are 828, 488, 449, 682
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 449 are 449
Prime factors of 682 are 2 x 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 488, 449, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 488) = 101016
GCD(828, 488) = ( 828 x 488 ) / 101016
= 828 / 488
= 828
Step2:
LCM(4, 449) = 1796
GCD(4, 449) = ( 4 x 449 ) / 1796
= 4 / 449
= 4
Step3:
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
= 1 / 682
= 1
So, Greatest Common Divisor of 828, 488, 449, 682 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 488, 449, 682
The greatest common divisor of numbers 828, 488, 449, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 488, 449, 682 is 1.
1. What is the GCD of 828, 488, 449, 682?
GCD of given numbers 828, 488, 449, 682 is 1
2. How to calculate the greatest common divisor of 828, 488, 449, 682?
We can find the highest common divisor of 828, 488, 449, 682 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 828, 488, 449, 682 i.e 1.
3. How can I use the GCD of 828, 488, 449, 682Calculator?
Out the numbers 828, 488, 449, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.