GCD of 925, 361, 243, 584 Calculator

Given Input numbers are 925, 361, 243, 584

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

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 925, 361, 243, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 361, 243, 584 is 1.

Therefore, GCD of numbers 925, 361, 243, 584 is 1

Given Input Data is 925, 361, 243, 584

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 361 is 19 x 19

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(925, 361) = 333925

GCD(925, 361) = ( 925 x 361 ) / 333925

GCD(925, 361) = 333925 / 333925

GCD(925, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 925, 361, 243, 584 is 1

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1. What is the GCD of 925, 361, 243, 584?

GCD of 925, 361, 243, 584 is 1

2. Where do I get the detailed procedure to find GCD of 925, 361, 243, 584?

You can find a detailed procedure to find GCD of 925, 361, 243, 584 on our page.

3. How to find GCD of 925, 361, 243, 584 on a calculator?

You can find the GCD of 925, 361, 243, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.