Online GCD Calculator is useful to find the GCD of 520, 584, 208, 936 quickly. Get the easiest ways to solve the greatest common divisor of 520, 584, 208, 936 i.e 8 in different methods as follows.
Given Input numbers are 520, 584, 208, 936
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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
GCD of numbers is the greatest common divisor
So, the GCD (520, 584, 208, 936) = 8.
Given numbers are 520, 584, 208, 936
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 584 are 2 x 2 x 2 x 73
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 23
Therefore, GCD of 520, 584, 208, 936 is 8.
Given numbers are 520, 584, 208, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 584) = 37960
GCD(520, 584) = ( 520 x 584 ) / 37960
= 520 / 584
= 520
Step2:
LCM(8, 208) = 208
GCD(8, 208) = ( 8 x 208 ) / 208
= 8 / 208
= 8
Step3:
LCM(8, 936) = 936
GCD(8, 936) = ( 8 x 936 ) / 936
= 8 / 936
= 8
So, Greatest Common Divisor of 520, 584, 208, 936 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 584, 208, 936
The greatest common divisor of numbers 520, 584, 208, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 584, 208, 936 is 8.
1. What is the GCD of 520, 584, 208, 936?
GCD of given numbers 520, 584, 208, 936 is 8
2. How to calculate the greatest common divisor of 520, 584, 208, 936?
We can find the highest common divisor of 520, 584, 208, 936 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, 584, 208, 936 i.e 8.
3. How can I use the GCD of 520, 584, 208, 936Calculator?
Out the numbers 520, 584, 208, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.