Online GCD Calculator is useful to find the GCD of 828, 708, 336 quickly. Get the easiest ways to solve the greatest common divisor of 828, 708, 336 i.e 12 in different methods as follows.
Given Input numbers are 828, 708, 336
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (828, 708, 336) = 12.
Given numbers are 828, 708, 336
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 708 are 2 x 2 x 3 x 59
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22 x 31
Therefore, GCD of 828, 708, 336 is 12.
Given numbers are 828, 708, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 708) = 48852
GCD(828, 708) = ( 828 x 708 ) / 48852
= 828 / 708
= 828
Step2:
LCM(12, 336) = 336
GCD(12, 336) = ( 12 x 336 ) / 336
= 12 / 336
= 12
So, Greatest Common Divisor of 828, 708, 336 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 708, 336
The greatest common divisor of numbers 828, 708, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 708, 336 is 12.
1. What is the GCD of 828, 708, 336?
GCD of given numbers 828, 708, 336 is 12
2. How to calculate the greatest common divisor of 828, 708, 336?
We can find the highest common divisor of 828, 708, 336 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, 708, 336 i.e 12.
3. How can I use the GCD of 828, 708, 336Calculator?
Out the numbers 828, 708, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.