GCD of 713, 644, 992, 520 Calculator

Given Input numbers are 713, 644, 992, 520

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

Greatest Common Divisior

We found the divisors of 713, 644, 992, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 644, 992, 520 is 1.

Therefore, GCD of numbers 713, 644, 992, 520 is 1

Given Input Data is 713, 644, 992, 520

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

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(713, 644) = 19964

GCD(713, 644) = ( 713 x 644 ) / 19964

GCD(713, 644) = 459172 / 19964

GCD(713, 644) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 992

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

LCM(23, 992) = 22816

GCD(23, 992) = ( 23 x 992 ) / 22816

GCD(23, 992) = 22816 / 22816

GCD(23, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 713, 644, 992, 520 is 1

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• GCD of 845, 546, 220, 915
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1. What is the GCD of 713, 644, 992, 520?

GCD of 713, 644, 992, 520 is 1

2. Where do I get the detailed procedure to find GCD of 713, 644, 992, 520?

You can find a detailed procedure to find GCD of 713, 644, 992, 520 on our page.

3. How to find GCD of 713, 644, 992, 520 on a calculator?

You can find the GCD of 713, 644, 992, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.