Online GCD Calculator is useful to find the GCD of 312, 688, 288, 872 quickly. Get the easiest ways to solve the greatest common divisor of 312, 688, 288, 872 i.e 8 in different methods as follows.
Given Input numbers are 312, 688, 288, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (312, 688, 288, 872) = 8.
Given numbers are 312, 688, 288, 872
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 23
Therefore, GCD of 312, 688, 288, 872 is 8.
Given numbers are 312, 688, 288, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 688) = 26832
GCD(312, 688) = ( 312 x 688 ) / 26832
= 312 / 688
= 312
Step2:
LCM(8, 288) = 288
GCD(8, 288) = ( 8 x 288 ) / 288
= 8 / 288
= 8
Step3:
LCM(8, 872) = 872
GCD(8, 872) = ( 8 x 872 ) / 872
= 8 / 872
= 8
So, Greatest Common Divisor of 312, 688, 288, 872 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 688, 288, 872
The greatest common divisor of numbers 312, 688, 288, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 688, 288, 872 is 8.
1. What is the GCD of 312, 688, 288, 872?
GCD of given numbers 312, 688, 288, 872 is 8
2. How to calculate the greatest common divisor of 312, 688, 288, 872?
We can find the highest common divisor of 312, 688, 288, 872 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 312, 688, 288, 872 i.e 8.
3. How can I use the GCD of 312, 688, 288, 872Calculator?
Out the numbers 312, 688, 288, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.