Online GCD Calculator is useful to find the GCD of 520, 986, 964, 864 quickly. Get the easiest ways to solve the greatest common divisor of 520, 986, 964, 864 i.e 2 in different methods as follows.
Given Input numbers are 520, 986, 964, 864
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 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (520, 986, 964, 864) = 2.
Given numbers are 520, 986, 964, 864
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 986 are 2 x 17 x 29
Prime factors of 964 are 2 x 2 x 241
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 520, 986, 964, 864 is 2.
Given numbers are 520, 986, 964, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 986) = 256360
GCD(520, 986) = ( 520 x 986 ) / 256360
= 520 / 986
= 520
Step2:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 520, 986, 964, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 986, 964, 864
The greatest common divisor of numbers 520, 986, 964, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 986, 964, 864 is 2.
1. What is the GCD of 520, 986, 964, 864?
GCD of given numbers 520, 986, 964, 864 is 2
2. How to calculate the greatest common divisor of 520, 986, 964, 864?
We can find the highest common divisor of 520, 986, 964, 864 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, 986, 964, 864 i.e 2.
3. How can I use the GCD of 520, 986, 964, 864Calculator?
Out the numbers 520, 986, 964, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.