GCD of 25, 713, 264, 512 Calculator

Given Input numbers are 25, 713, 264, 512

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 25, 713, 264, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 713, 264, 512 is 1.

Therefore, GCD of numbers 25, 713, 264, 512 is 1

Given Input Data is 25, 713, 264, 512

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 25 is 5 x 5

Prime Factorization of 713 is 23 x 31

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(25, 713) = 17825

GCD(25, 713) = ( 25 x 713 ) / 17825

GCD(25, 713) = 17825 / 17825

GCD(25, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 25, 713, 264, 512 is 1

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• GCD of 33, 787, 907, 283
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• GCD of 55, 319, 447, 475

1. What is the GCD of 25, 713, 264, 512?

GCD of 25, 713, 264, 512 is 1

2. Where do I get the detailed procedure to find GCD of 25, 713, 264, 512?

You can find a detailed procedure to find GCD of 25, 713, 264, 512 on our page.

3. How to find GCD of 25, 713, 264, 512 on a calculator?

You can find the GCD of 25, 713, 264, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.