GCD of 520, 931, 537, 109 Calculator

Given Input numbers are 520, 931, 537, 109

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 520, 931, 537, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 931, 537, 109 is 1.

Therefore, GCD of numbers 520, 931, 537, 109 is 1

Given Input Data is 520, 931, 537, 109

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 931 is 7 x 7 x 19

Prime Factorization of 537 is 3 x 179

Prime Factorization of 109 is 109

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, 931) = 484120

GCD(520, 931) = ( 520 x 931 ) / 484120

GCD(520, 931) = 484120 / 484120

GCD(520, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 520, 931, 537, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 755, 917, 495
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• GCD of 240, 458, 949, 808
• GCD of 963, 104, 522, 178

1. What is the GCD of 520, 931, 537, 109?

GCD of 520, 931, 537, 109 is 1

2. Where do I get the detailed procedure to find GCD of 520, 931, 537, 109?

You can find a detailed procedure to find GCD of 520, 931, 537, 109 on our page.

3. How to find GCD of 520, 931, 537, 109 on a calculator?

You can find the GCD of 520, 931, 537, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.