Online GCD Calculator is useful to find the GCD of 878, 336, 438, 828 quickly. Get the easiest ways to solve the greatest common divisor of 878, 336, 438, 828 i.e 2 in different methods as follows.
Given Input numbers are 878, 336, 438, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
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
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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
GCD of numbers is the greatest common divisor
So, the GCD (878, 336, 438, 828) = 2.
Given numbers are 878, 336, 438, 828
The list of prime factors of all numbers are
Prime factors of 878 are 2 x 439
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 438 are 2 x 3 x 73
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 878, 336, 438, 828 is 2.
Given numbers are 878, 336, 438, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(878, 336) = 147504
GCD(878, 336) = ( 878 x 336 ) / 147504
= 878 / 336
= 878
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
Step3:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 878, 336, 438, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 878, 336, 438, 828
The greatest common divisor of numbers 878, 336, 438, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 336, 438, 828 is 2.
1. What is the GCD of 878, 336, 438, 828?
GCD of given numbers 878, 336, 438, 828 is 2
2. How to calculate the greatest common divisor of 878, 336, 438, 828?
We can find the highest common divisor of 878, 336, 438, 828 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 878, 336, 438, 828 i.e 2.
3. How can I use the GCD of 878, 336, 438, 828Calculator?
Out the numbers 878, 336, 438, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.