GCD of 249, 564, 982, 320 Calculator

Given Input numbers are 249, 564, 982, 320

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

Divisors of 249

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

1, 3, 83, 249

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 249, 564, 982, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 564, 982, 320 is 1.

Therefore, GCD of numbers 249, 564, 982, 320 is 1

Given Input Data is 249, 564, 982, 320

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 982 is 2 x 491

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(249, 564) = 46812

GCD(249, 564) = ( 249 x 564 ) / 46812

GCD(249, 564) = 140436 / 46812

GCD(249, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 982

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

LCM(3, 982) = 2946

GCD(3, 982) = ( 3 x 982 ) / 2946

GCD(3, 982) = 2946 / 2946

GCD(3, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 249, 564, 982, 320 is 1

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• GCD of 268, 775, 607, 843
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• GCD of 179, 946, 367, 406

1. What is the GCD of 249, 564, 982, 320?

GCD of 249, 564, 982, 320 is 1

2. Where do I get the detailed procedure to find GCD of 249, 564, 982, 320?

You can find a detailed procedure to find GCD of 249, 564, 982, 320 on our page.

3. How to find GCD of 249, 564, 982, 320 on a calculator?

You can find the GCD of 249, 564, 982, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.