GCD of 360, 584, 28, 520 Calculator

Given Input numbers are 360, 584, 28, 520

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 360, 584, 28, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 584, 28, 520 is 4.

Therefore, GCD of numbers 360, 584, 28, 520 is 4

Given Input Data is 360, 584, 28, 520

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 28 is 2 x 2 x 7

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(360, 584) = 26280

GCD(360, 584) = ( 360 x 584 ) / 26280

GCD(360, 584) = 210240 / 26280

GCD(360, 584) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 28

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

LCM(8, 28) = 56

GCD(8, 28) = ( 8 x 28 ) / 56

GCD(8, 28) = 224 / 56

GCD(8, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 520

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

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

GCD(4, 520) = 2080 / 520

GCD(4, 520) = 4

GCD of 360, 584, 28, 520 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 437, 49, 249
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• GCD of 711, 196, 78, 511
• GCD of 377, 858, 72, 972
• GCD of 985, 315, 60, 591

1. What is the GCD of 360, 584, 28, 520?

GCD of 360, 584, 28, 520 is 4

2. Where do I get the detailed procedure to find GCD of 360, 584, 28, 520?

You can find a detailed procedure to find GCD of 360, 584, 28, 520 on our page.

3. How to find GCD of 360, 584, 28, 520 on a calculator?

You can find the GCD of 360, 584, 28, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.