Online GCD Calculator is useful to find the GCD of 512, 684, 976, 652 quickly. Get the easiest ways to solve the greatest common divisor of 512, 684, 976, 652 i.e 4 in different methods as follows.
Given Input numbers are 512, 684, 976, 652
In the factoring method, we have to find the divisors of all numbers
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (512, 684, 976, 652) = 4.
Given numbers are 512, 684, 976, 652
The list of prime factors of all numbers are
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 22
Therefore, GCD of 512, 684, 976, 652 is 4.
Given numbers are 512, 684, 976, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(512, 684) = 87552
GCD(512, 684) = ( 512 x 684 ) / 87552
= 512 / 684
= 512
Step2:
LCM(4, 976) = 976
GCD(4, 976) = ( 4 x 976 ) / 976
= 4 / 976
= 4
Step3:
LCM(4, 652) = 652
GCD(4, 652) = ( 4 x 652 ) / 652
= 4 / 652
= 4
So, Greatest Common Divisor of 512, 684, 976, 652 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 512, 684, 976, 652
The greatest common divisor of numbers 512, 684, 976, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 684, 976, 652 is 4.
1. What is the GCD of 512, 684, 976, 652?
GCD of given numbers 512, 684, 976, 652 is 4
2. How to calculate the greatest common divisor of 512, 684, 976, 652?
We can find the highest common divisor of 512, 684, 976, 652 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 512, 684, 976, 652 i.e 4.
3. How can I use the GCD of 512, 684, 976, 652Calculator?
Out the numbers 512, 684, 976, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.