GCD of 582, 335, 21, 748 Calculator

Given Input numbers are 582, 335, 21, 748

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 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 582, 335, 21, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 335, 21, 748 is 1.

Therefore, GCD of numbers 582, 335, 21, 748 is 1

Given Input Data is 582, 335, 21, 748

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 335 is 5 x 67

Prime Factorization of 21 is 3 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 335) = 194970

GCD(582, 335) = ( 582 x 335 ) / 194970

GCD(582, 335) = 194970 / 194970

GCD(582, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 582, 335, 21, 748 is 1

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• GCD of 184, 955, 55, 594
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1. What is the GCD of 582, 335, 21, 748?

GCD of 582, 335, 21, 748 is 1

2. Where do I get the detailed procedure to find GCD of 582, 335, 21, 748?

You can find a detailed procedure to find GCD of 582, 335, 21, 748 on our page.

3. How to find GCD of 582, 335, 21, 748 on a calculator?

You can find the GCD of 582, 335, 21, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.