Online GCD Calculator is useful to find the GCD of 828, 816, 864, 906 quickly. Get the easiest ways to solve the greatest common divisor of 828, 816, 864, 906 i.e 6 in different methods as follows.
Given Input numbers are 828, 816, 864, 906
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 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
GCD of numbers is the greatest common divisor
So, the GCD (828, 816, 864, 906) = 6.
Given numbers are 828, 816, 864, 906
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 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 906 are 2 x 3 x 151
The highest common occurrence is 21 x 31
Therefore, GCD of 828, 816, 864, 906 is 6.
Given numbers are 828, 816, 864, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 816) = 56304
GCD(828, 816) = ( 828 x 816 ) / 56304
= 828 / 816
= 828
Step2:
LCM(12, 864) = 864
GCD(12, 864) = ( 12 x 864 ) / 864
= 12 / 864
= 12
Step3:
LCM(12, 906) = 1812
GCD(12, 906) = ( 12 x 906 ) / 1812
= 12 / 906
= 12
So, Greatest Common Divisor of 828, 816, 864, 906 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 816, 864, 906
The greatest common divisor of numbers 828, 816, 864, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 816, 864, 906 is 6.
1. What is the GCD of 828, 816, 864, 906?
GCD of given numbers 828, 816, 864, 906 is 6
2. How to calculate the greatest common divisor of 828, 816, 864, 906?
We can find the highest common divisor of 828, 816, 864, 906 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, 816, 864, 906 i.e 6.
3. How can I use the GCD of 828, 816, 864, 906Calculator?
Out the numbers 828, 816, 864, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.