Online GCD Calculator is useful to find the GCD of 489, 687, 828, 826 quickly. Get the easiest ways to solve the greatest common divisor of 489, 687, 828, 826 i.e 1 in different methods as follows.
Given Input numbers are 489, 687, 828, 826
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
GCD of numbers is the greatest common divisor
So, the GCD (489, 687, 828, 826) = 1.
Given numbers are 489, 687, 828, 826
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 687 are 3 x 229
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 826 are 2 x 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 687, 828, 826
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 687) = 111981
GCD(489, 687) = ( 489 x 687 ) / 111981
= 489 / 687
= 489
Step2:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
Step3:
LCM(3, 826) = 2478
GCD(3, 826) = ( 3 x 826 ) / 2478
= 3 / 826
= 3
So, Greatest Common Divisor of 489, 687, 828, 826 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 687, 828, 826
The greatest common divisor of numbers 489, 687, 828, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 687, 828, 826 is 1.
1. What is the GCD of 489, 687, 828, 826?
GCD of given numbers 489, 687, 828, 826 is 1
2. How to calculate the greatest common divisor of 489, 687, 828, 826?
We can find the highest common divisor of 489, 687, 828, 826 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 489, 687, 828, 826 i.e 1.
3. How can I use the GCD of 489, 687, 828, 826Calculator?
Out the numbers 489, 687, 828, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.