Online GCD Calculator is useful to find the GCD of 520, 114, 316 quickly. Get the easiest ways to solve the greatest common divisor of 520, 114, 316 i.e 2 in different methods as follows.
Given Input numbers are 520, 114, 316
In the factoring method, we have to find the divisors of all numbers
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 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (520, 114, 316) = 2.
Given numbers are 520, 114, 316
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 114 are 2 x 3 x 19
Prime factors of 316 are 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 520, 114, 316 is 2.
Given numbers are 520, 114, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 114) = 29640
GCD(520, 114) = ( 520 x 114 ) / 29640
= 520 / 114
= 520
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
So, Greatest Common Divisor of 520, 114, 316 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 114, 316
The greatest common divisor of numbers 520, 114, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 114, 316 is 2.
1. What is the GCD of 520, 114, 316?
GCD of given numbers 520, 114, 316 is 2
2. How to calculate the greatest common divisor of 520, 114, 316?
We can find the highest common divisor of 520, 114, 316 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 520, 114, 316 i.e 2.
3. How can I use the GCD of 520, 114, 316Calculator?
Out the numbers 520, 114, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.