GCD of 500, 520, 391, 892 Calculator

Given Input numbers are 500, 520, 391, 892

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

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 500, 520, 391, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 520, 391, 892 is 1.

Therefore, GCD of numbers 500, 520, 391, 892 is 1

Given Input Data is 500, 520, 391, 892

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

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 391 is 17 x 23

Prime Factorization of 892 is 2 x 2 x 223

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(500, 520) = 13000

GCD(500, 520) = ( 500 x 520 ) / 13000

GCD(500, 520) = 260000 / 13000

GCD(500, 520) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 391

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

LCM(20, 391) = 7820

GCD(20, 391) = ( 20 x 391 ) / 7820

GCD(20, 391) = 7820 / 7820

GCD(20, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 500, 520, 391, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 163, 903, 419
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• GCD of 940, 849, 846, 711
• GCD of 993, 757, 130, 899

1. What is the GCD of 500, 520, 391, 892?

GCD of 500, 520, 391, 892 is 1

2. Where do I get the detailed procedure to find GCD of 500, 520, 391, 892?

You can find a detailed procedure to find GCD of 500, 520, 391, 892 on our page.

3. How to find GCD of 500, 520, 391, 892 on a calculator?

You can find the GCD of 500, 520, 391, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.