GCD of 688, 256, 560, 328 Calculator

Given Input numbers are 688, 256, 560, 328

In the factoring method, we have to find the divisors of all numbers

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (688, 256, 560, 328) = 8.

Given numbers are 688, 256, 560, 328

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2³

Therefore, GCD of 688, 256, 560, 328 is 8.

Given numbers are 688, 256, 560, 328

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(688, 256) = 11008

GCD(688, 256) = ( 688 x 256 ) / 11008

= 688 / 256

= 688

Step2:

LCM(16, 560) = 560

GCD(16, 560) = ( 16 x 560 ) / 560

= 16 / 560

= 16

Step3:

LCM(16, 328) = 656

GCD(16, 328) = ( 16 x 328 ) / 656

= 16 / 328

= 16

So, Greatest Common Divisor of 688, 256, 560, 328 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 691, 296, 923
• GCD of 657, 164, 685, 974
• GCD of 758, 612, 947, 154
• GCD of 236, 174, 715, 298
• GCD of 485, 990, 502, 375

Given numbers are 688, 256, 560, 328
The greatest common divisor of numbers 688, 256, 560, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 256, 560, 328 is 8.

1. What is the GCD of 688, 256, 560, 328?

GCD of given numbers 688, 256, 560, 328 is 8

2. How to calculate the greatest common divisor of 688, 256, 560, 328?

We can find the highest common divisor of 688, 256, 560, 328 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 688, 256, 560, 328 i.e 8.

3. How can I use the GCD of 688, 256, 560, 328Calculator?

Out the numbers 688, 256, 560, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.