GCD of 532, 725, 538, 884 Calculator

Given Input numbers are 532, 725, 538, 884

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 532, 725, 538, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 725, 538, 884 is 1.

Therefore, GCD of numbers 532, 725, 538, 884 is 1

Given Input Data is 532, 725, 538, 884

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 538 is 2 x 269

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(532, 725) = 385700

GCD(532, 725) = ( 532 x 725 ) / 385700

GCD(532, 725) = 385700 / 385700

GCD(532, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 532, 725, 538, 884 is 1

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1. What is the GCD of 532, 725, 538, 884?

GCD of 532, 725, 538, 884 is 1

2. Where do I get the detailed procedure to find GCD of 532, 725, 538, 884?

You can find a detailed procedure to find GCD of 532, 725, 538, 884 on our page.

3. How to find GCD of 532, 725, 538, 884 on a calculator?

You can find the GCD of 532, 725, 538, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.