GCD of 582, 217, 982, 268 Calculator

Given Input numbers are 582, 217, 982, 268

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 982

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

1, 2, 491, 982

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 582, 217, 982, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 217, 982, 268 is 1.

Therefore, GCD of numbers 582, 217, 982, 268 is 1

Given Input Data is 582, 217, 982, 268

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 217 is 7 x 31

Prime Factorization of 982 is 2 x 491

Prime Factorization of 268 is 2 x 2 x 67

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(582, 217) = 126294

GCD(582, 217) = ( 582 x 217 ) / 126294

GCD(582, 217) = 126294 / 126294

GCD(582, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 582, 217, 982, 268 is 1

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1. What is the GCD of 582, 217, 982, 268?

GCD of 582, 217, 982, 268 is 1

2. Where do I get the detailed procedure to find GCD of 582, 217, 982, 268?

You can find a detailed procedure to find GCD of 582, 217, 982, 268 on our page.

3. How to find GCD of 582, 217, 982, 268 on a calculator?

You can find the GCD of 582, 217, 982, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.