Online GCD Calculator is useful to find the GCD of 976, 518, 888, 872 quickly. Get the easiest ways to solve the greatest common divisor of 976, 518, 888, 872 i.e 2 in different methods as follows.
Given Input numbers are 976, 518, 888, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
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 (976, 518, 888, 872) = 2.
Given numbers are 976, 518, 888, 872
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 518 are 2 x 7 x 37
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 976, 518, 888, 872 is 2.
Given numbers are 976, 518, 888, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 518) = 252784
GCD(976, 518) = ( 976 x 518 ) / 252784
= 976 / 518
= 976
Step2:
LCM(2, 888) = 888
GCD(2, 888) = ( 2 x 888 ) / 888
= 2 / 888
= 2
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 976, 518, 888, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 518, 888, 872
The greatest common divisor of numbers 976, 518, 888, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 518, 888, 872 is 2.
1. What is the GCD of 976, 518, 888, 872?
GCD of given numbers 976, 518, 888, 872 is 2
2. How to calculate the greatest common divisor of 976, 518, 888, 872?
We can find the highest common divisor of 976, 518, 888, 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 976, 518, 888, 872 i.e 2.
3. How can I use the GCD of 976, 518, 888, 872Calculator?
Out the numbers 976, 518, 888, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.