Online GCD Calculator is useful to find the GCD of 438, 556, 286, 828 quickly. Get the easiest ways to solve the greatest common divisor of 438, 556, 286, 828 i.e 2 in different methods as follows.
Given Input numbers are 438, 556, 286, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
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 (438, 556, 286, 828) = 2.
Given numbers are 438, 556, 286, 828
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 556 are 2 x 2 x 139
Prime factors of 286 are 2 x 11 x 13
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 438, 556, 286, 828 is 2.
Given numbers are 438, 556, 286, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 556) = 121764
GCD(438, 556) = ( 438 x 556 ) / 121764
= 438 / 556
= 438
Step2:
LCM(2, 286) = 286
GCD(2, 286) = ( 2 x 286 ) / 286
= 2 / 286
= 2
Step3:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 438, 556, 286, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 556, 286, 828
The greatest common divisor of numbers 438, 556, 286, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 556, 286, 828 is 2.
1. What is the GCD of 438, 556, 286, 828?
GCD of given numbers 438, 556, 286, 828 is 2
2. How to calculate the greatest common divisor of 438, 556, 286, 828?
We can find the highest common divisor of 438, 556, 286, 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 438, 556, 286, 828 i.e 2.
3. How can I use the GCD of 438, 556, 286, 828Calculator?
Out the numbers 438, 556, 286, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.