Online GCD Calculator is useful to find the GCD of 796, 476, 870, 872 quickly. Get the easiest ways to solve the greatest common divisor of 796, 476, 870, 872 i.e 2 in different methods as follows.
Given Input numbers are 796, 476, 870, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
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 (796, 476, 870, 872) = 2.
Given numbers are 796, 476, 870, 872
The list of prime factors of all numbers are
Prime factors of 796 are 2 x 2 x 199
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 796, 476, 870, 872 is 2.
Given numbers are 796, 476, 870, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(796, 476) = 94724
GCD(796, 476) = ( 796 x 476 ) / 94724
= 796 / 476
= 796
Step2:
LCM(4, 870) = 1740
GCD(4, 870) = ( 4 x 870 ) / 1740
= 4 / 870
= 4
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 796, 476, 870, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 796, 476, 870, 872
The greatest common divisor of numbers 796, 476, 870, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 476, 870, 872 is 2.
1. What is the GCD of 796, 476, 870, 872?
GCD of given numbers 796, 476, 870, 872 is 2
2. How to calculate the greatest common divisor of 796, 476, 870, 872?
We can find the highest common divisor of 796, 476, 870, 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 796, 476, 870, 872 i.e 2.
3. How can I use the GCD of 796, 476, 870, 872Calculator?
Out the numbers 796, 476, 870, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.