Online GCD Calculator is useful to find the GCD of 384, 984, 936, 520 quickly. Get the easiest ways to solve the greatest common divisor of 384, 984, 936, 520 i.e 8 in different methods as follows.
Given Input numbers are 384, 984, 936, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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
GCD of numbers is the greatest common divisor
So, the GCD (384, 984, 936, 520) = 8.
Given numbers are 384, 984, 936, 520
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 23
Therefore, GCD of 384, 984, 936, 520 is 8.
Given numbers are 384, 984, 936, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 984) = 15744
GCD(384, 984) = ( 384 x 984 ) / 15744
= 384 / 984
= 384
Step2:
LCM(24, 936) = 936
GCD(24, 936) = ( 24 x 936 ) / 936
= 24 / 936
= 24
Step3:
LCM(24, 520) = 1560
GCD(24, 520) = ( 24 x 520 ) / 1560
= 24 / 520
= 24
So, Greatest Common Divisor of 384, 984, 936, 520 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 984, 936, 520
The greatest common divisor of numbers 384, 984, 936, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 984, 936, 520 is 8.
1. What is the GCD of 384, 984, 936, 520?
GCD of given numbers 384, 984, 936, 520 is 8
2. How to calculate the greatest common divisor of 384, 984, 936, 520?
We can find the highest common divisor of 384, 984, 936, 520 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 384, 984, 936, 520 i.e 8.
3. How can I use the GCD of 384, 984, 936, 520Calculator?
Out the numbers 384, 984, 936, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.