Online GCD Calculator is useful to find the GCD of 800, 288, 876, 438 quickly. Get the easiest ways to solve the greatest common divisor of 800, 288, 876, 438 i.e 2 in different methods as follows.
Given Input numbers are 800, 288, 876, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (800, 288, 876, 438) = 2.
Given numbers are 800, 288, 876, 438
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 800, 288, 876, 438 is 2.
Given numbers are 800, 288, 876, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 288) = 7200
GCD(800, 288) = ( 800 x 288 ) / 7200
= 800 / 288
= 800
Step2:
LCM(32, 876) = 7008
GCD(32, 876) = ( 32 x 876 ) / 7008
= 32 / 876
= 32
Step3:
LCM(4, 438) = 876
GCD(4, 438) = ( 4 x 438 ) / 876
= 4 / 438
= 4
So, Greatest Common Divisor of 800, 288, 876, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 288, 876, 438
The greatest common divisor of numbers 800, 288, 876, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 288, 876, 438 is 2.
1. What is the GCD of 800, 288, 876, 438?
GCD of given numbers 800, 288, 876, 438 is 2
2. How to calculate the greatest common divisor of 800, 288, 876, 438?
We can find the highest common divisor of 800, 288, 876, 438 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 800, 288, 876, 438 i.e 2.
3. How can I use the GCD of 800, 288, 876, 438Calculator?
Out the numbers 800, 288, 876, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.