Online GCD Calculator is useful to find the GCD of 268, 520, 816, 872 quickly. Get the easiest ways to solve the greatest common divisor of 268, 520, 816, 872 i.e 4 in different methods as follows.
Given Input numbers are 268, 520, 816, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 (268, 520, 816, 872) = 4.
Given numbers are 268, 520, 816, 872
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 22
Therefore, GCD of 268, 520, 816, 872 is 4.
Given numbers are 268, 520, 816, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 520) = 34840
GCD(268, 520) = ( 268 x 520 ) / 34840
= 268 / 520
= 268
Step2:
LCM(4, 816) = 816
GCD(4, 816) = ( 4 x 816 ) / 816
= 4 / 816
= 4
Step3:
LCM(4, 872) = 872
GCD(4, 872) = ( 4 x 872 ) / 872
= 4 / 872
= 4
So, Greatest Common Divisor of 268, 520, 816, 872 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 520, 816, 872
The greatest common divisor of numbers 268, 520, 816, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 520, 816, 872 is 4.
1. What is the GCD of 268, 520, 816, 872?
GCD of given numbers 268, 520, 816, 872 is 4
2. How to calculate the greatest common divisor of 268, 520, 816, 872?
We can find the highest common divisor of 268, 520, 816, 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 268, 520, 816, 872 i.e 4.
3. How can I use the GCD of 268, 520, 816, 872Calculator?
Out the numbers 268, 520, 816, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.