GCD of 538, 523, 82, 925 Calculator

Given Input numbers are 538, 523, 82, 925

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

Divisors of 538

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

1, 2, 269, 538

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 538, 523, 82, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 523, 82, 925 is 1.

Therefore, GCD of numbers 538, 523, 82, 925 is 1

Given Input Data is 538, 523, 82, 925

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 523 is 523

Prime Factorization of 82 is 2 x 41

Prime Factorization of 925 is 5 x 5 x 37

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(538, 523) = 281374

GCD(538, 523) = ( 538 x 523 ) / 281374

GCD(538, 523) = 281374 / 281374

GCD(538, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 538, 523, 82, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 611, 13, 430
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• GCD of 234, 602, 12, 332
• GCD of 963, 374, 89, 872
• GCD of 121, 699, 45, 359

1. What is the GCD of 538, 523, 82, 925?

GCD of 538, 523, 82, 925 is 1

2. Where do I get the detailed procedure to find GCD of 538, 523, 82, 925?

You can find a detailed procedure to find GCD of 538, 523, 82, 925 on our page.

3. How to find GCD of 538, 523, 82, 925 on a calculator?

You can find the GCD of 538, 523, 82, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.