GCD of 484, 692, 909, 249 Calculator

Given Input numbers are 484, 692, 909, 249

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 484, 692, 909, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 692, 909, 249 is 1.

Therefore, GCD of numbers 484, 692, 909, 249 is 1

Given Input Data is 484, 692, 909, 249

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 249 is 3 x 83

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(484, 692) = 83732

GCD(484, 692) = ( 484 x 692 ) / 83732

GCD(484, 692) = 334928 / 83732

GCD(484, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 909

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

LCM(4, 909) = 3636

GCD(4, 909) = ( 4 x 909 ) / 3636

GCD(4, 909) = 3636 / 3636

GCD(4, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 484, 692, 909, 249 is 1

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1. What is the GCD of 484, 692, 909, 249?

GCD of 484, 692, 909, 249 is 1

2. Where do I get the detailed procedure to find GCD of 484, 692, 909, 249?

You can find a detailed procedure to find GCD of 484, 692, 909, 249 on our page.

3. How to find GCD of 484, 692, 909, 249 on a calculator?

You can find the GCD of 484, 692, 909, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.