GCD of 512, 896, 732, 728 Calculator

Given Input numbers are 512, 896, 732, 728

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (512, 896, 732, 728) = 4.

Given numbers are 512, 896, 732, 728

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 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2²

Therefore, GCD of 512, 896, 732, 728 is 4.

Given numbers are 512, 896, 732, 728

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

Apply this formula for all numbers.

Step1:

LCM(512, 896) = 3584

GCD(512, 896) = ( 512 x 896 ) / 3584

= 512 / 896

= 512

Step2:

LCM(128, 732) = 23424

GCD(128, 732) = ( 128 x 732 ) / 23424

= 128 / 732

= 128

Step3:

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

= 4 / 728

= 4

So, Greatest Common Divisor of 512, 896, 732, 728 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 973, 505, 535
• GCD of 713, 790, 165, 550
• GCD of 760, 479, 126, 373
• GCD of 798, 481, 699, 157
• GCD of 604, 466, 798, 897

Given numbers are 512, 896, 732, 728
The greatest common divisor of numbers 512, 896, 732, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 896, 732, 728 is 4.

1. What is the GCD of 512, 896, 732, 728?

GCD of given numbers 512, 896, 732, 728 is 4

2. How to calculate the greatest common divisor of 512, 896, 732, 728?

We can find the highest common divisor of 512, 896, 732, 728 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, 896, 732, 728 i.e 4.

3. How can I use the GCD of 512, 896, 732, 728Calculator?

Out the numbers 512, 896, 732, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.