GCD of 624, 456, 580 Calculator

Given Input numbers are 624, 456, 580

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

Greatest Common Divisior

We found the divisors of 624, 456, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 456, 580 is 4.

Therefore, GCD of numbers 624, 456, 580 is 4

Given Input Data is 624, 456, 580

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

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(624, 456) = 11856

GCD(624, 456) = ( 624 x 456 ) / 11856

GCD(624, 456) = 284544 / 11856

GCD(624, 456) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 580

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

LCM(24, 580) = 3480

GCD(24, 580) = ( 24 x 580 ) / 3480

GCD(24, 580) = 13920 / 3480

GCD(24, 580) = 4

GCD of 624, 456, 580 is 4

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1. What is the GCD of 624, 456, 580?

GCD of 624, 456, 580 is 4

2. Where do I get the detailed procedure to find GCD of 624, 456, 580?

You can find a detailed procedure to find GCD of 624, 456, 580 on our page.

3. How to find GCD of 624, 456, 580 on a calculator?

You can find the GCD of 624, 456, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.