GCD of 520, 743, 47, 364 Calculator

Given Input numbers are 520, 743, 47, 364

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

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 520, 743, 47, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 743, 47, 364 is 1.

Therefore, GCD of numbers 520, 743, 47, 364 is 1

Given Input Data is 520, 743, 47, 364

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

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

Prime Factorization of 743 is 743

Prime Factorization of 47 is 47

Prime Factorization of 364 is 2 x 2 x 7 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(520, 743) = 386360

GCD(520, 743) = ( 520 x 743 ) / 386360

GCD(520, 743) = 386360 / 386360

GCD(520, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 520, 743, 47, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 936, 19, 868
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• GCD of 414, 279, 79, 857
• GCD of 811, 330, 33, 387
• GCD of 116, 852, 90, 678

1. What is the GCD of 520, 743, 47, 364?

GCD of 520, 743, 47, 364 is 1

2. Where do I get the detailed procedure to find GCD of 520, 743, 47, 364?

You can find a detailed procedure to find GCD of 520, 743, 47, 364 on our page.

3. How to find GCD of 520, 743, 47, 364 on a calculator?

You can find the GCD of 520, 743, 47, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.