GCD of 585, 500, 974 Calculator

Given Input numbers are 585, 500, 974

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 585, 500, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 500, 974 is 1.

Therefore, GCD of numbers 585, 500, 974 is 1

Given Input Data is 585, 500, 974

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 974 is 2 x 487

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(585, 500) = 58500

GCD(585, 500) = ( 585 x 500 ) / 58500

GCD(585, 500) = 292500 / 58500

GCD(585, 500) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 974

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

LCM(5, 974) = 4870

GCD(5, 974) = ( 5 x 974 ) / 4870

GCD(5, 974) = 4870 / 4870

GCD(5, 974) = 1

GCD of 585, 500, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 410, 483
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• GCD of 477, 964, 106
• GCD of 319, 145, 970
• GCD of 789, 233, 451

1. What is the GCD of 585, 500, 974?

GCD of 585, 500, 974 is 1

2. Where do I get the detailed procedure to find GCD of 585, 500, 974?

You can find a detailed procedure to find GCD of 585, 500, 974 on our page.

3. How to find GCD of 585, 500, 974 on a calculator?

You can find the GCD of 585, 500, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.