GCD of 580, 984, 522, 480 Calculator

Given Input numbers are 580, 984, 522, 480

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 580, 984, 522, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 984, 522, 480 is 2.

Therefore, GCD of numbers 580, 984, 522, 480 is 2

Given Input Data is 580, 984, 522, 480

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(580, 984) = 142680

GCD(580, 984) = ( 580 x 984 ) / 142680

GCD(580, 984) = 570720 / 142680

GCD(580, 984) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 522

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

LCM(4, 522) = 1044

GCD(4, 522) = ( 4 x 522 ) / 1044

GCD(4, 522) = 2088 / 1044

GCD(4, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 580, 984, 522, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 968, 512, 433
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• GCD of 554, 361, 956, 774

1. What is the GCD of 580, 984, 522, 480?

GCD of 580, 984, 522, 480 is 2

2. Where do I get the detailed procedure to find GCD of 580, 984, 522, 480?

You can find a detailed procedure to find GCD of 580, 984, 522, 480 on our page.

3. How to find GCD of 580, 984, 522, 480 on a calculator?

You can find the GCD of 580, 984, 522, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.