GCD of 520, 884, 71, 164 Calculator

Given Input numbers are 520, 884, 71, 164

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 520, 884, 71, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 884, 71, 164 is 1.

Therefore, GCD of numbers 520, 884, 71, 164 is 1

Given Input Data is 520, 884, 71, 164

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 71 is 71

Prime Factorization of 164 is 2 x 2 x 41

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, 884) = 8840

GCD(520, 884) = ( 520 x 884 ) / 8840

GCD(520, 884) = 459680 / 8840

GCD(520, 884) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 71

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

LCM(52, 71) = 3692

GCD(52, 71) = ( 52 x 71 ) / 3692

GCD(52, 71) = 3692 / 3692

GCD(52, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 520, 884, 71, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 762, 16, 392
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• GCD of 264, 401, 52, 684
• GCD of 501, 767, 21, 150
• GCD of 304, 217, 27, 397

1. What is the GCD of 520, 884, 71, 164?

GCD of 520, 884, 71, 164 is 1

2. Where do I get the detailed procedure to find GCD of 520, 884, 71, 164?

You can find a detailed procedure to find GCD of 520, 884, 71, 164 on our page.

3. How to find GCD of 520, 884, 71, 164 on a calculator?

You can find the GCD of 520, 884, 71, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.