Online GCD Calculator is useful to find the GCD of 872, 130, 596, 212 quickly. Get the easiest ways to solve the greatest common divisor of 872, 130, 596, 212 i.e 2 in different methods as follows.
Given Input numbers are 872, 130, 596, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (872, 130, 596, 212) = 2.
Given numbers are 872, 130, 596, 212
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 130 are 2 x 5 x 13
Prime factors of 596 are 2 x 2 x 149
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 872, 130, 596, 212 is 2.
Given numbers are 872, 130, 596, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 130) = 56680
GCD(872, 130) = ( 872 x 130 ) / 56680
= 872 / 130
= 872
Step2:
LCM(2, 596) = 596
GCD(2, 596) = ( 2 x 596 ) / 596
= 2 / 596
= 2
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 872, 130, 596, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 130, 596, 212
The greatest common divisor of numbers 872, 130, 596, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 130, 596, 212 is 2.
1. What is the GCD of 872, 130, 596, 212?
GCD of given numbers 872, 130, 596, 212 is 2
2. How to calculate the greatest common divisor of 872, 130, 596, 212?
We can find the highest common divisor of 872, 130, 596, 212 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 872, 130, 596, 212 i.e 2.
3. How can I use the GCD of 872, 130, 596, 212Calculator?
Out the numbers 872, 130, 596, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.