Online GCD Calculator is useful to find the GCD of 828, 696, 489, 885 quickly. Get the easiest ways to solve the greatest common divisor of 828, 696, 489, 885 i.e 3 in different methods as follows.
Given Input numbers are 828, 696, 489, 885
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
GCD of numbers is the greatest common divisor
So, the GCD (828, 696, 489, 885) = 3.
Given numbers are 828, 696, 489, 885
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 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 489 are 3 x 163
Prime factors of 885 are 3 x 5 x 59
The highest common occurrence is 31
Therefore, GCD of 828, 696, 489, 885 is 3.
Given numbers are 828, 696, 489, 885
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 696) = 48024
GCD(828, 696) = ( 828 x 696 ) / 48024
= 828 / 696
= 828
Step2:
LCM(12, 489) = 1956
GCD(12, 489) = ( 12 x 489 ) / 1956
= 12 / 489
= 12
Step3:
LCM(3, 885) = 885
GCD(3, 885) = ( 3 x 885 ) / 885
= 3 / 885
= 3
So, Greatest Common Divisor of 828, 696, 489, 885 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 696, 489, 885
The greatest common divisor of numbers 828, 696, 489, 885 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 696, 489, 885 is 3.
1. What is the GCD of 828, 696, 489, 885?
GCD of given numbers 828, 696, 489, 885 is 3
2. How to calculate the greatest common divisor of 828, 696, 489, 885?
We can find the highest common divisor of 828, 696, 489, 885 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, 696, 489, 885 i.e 3.
3. How can I use the GCD of 828, 696, 489, 885Calculator?
Out the numbers 828, 696, 489, 885 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.