GCD of 790, 580, 56, 488 Calculator

Given Input numbers are 790, 580, 56, 488

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 790, 580, 56, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 580, 56, 488 is 2.

Therefore, GCD of numbers 790, 580, 56, 488 is 2

Given Input Data is 790, 580, 56, 488

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

Prime Factorization of 790 is 2 x 5 x 79

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(790, 580) = 45820

GCD(790, 580) = ( 790 x 580 ) / 45820

GCD(790, 580) = 458200 / 45820

GCD(790, 580) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 56

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

LCM(10, 56) = 280

GCD(10, 56) = ( 10 x 56 ) / 280

GCD(10, 56) = 560 / 280

GCD(10, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 790, 580, 56, 488 is 2

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1. What is the GCD of 790, 580, 56, 488?

GCD of 790, 580, 56, 488 is 2

2. Where do I get the detailed procedure to find GCD of 790, 580, 56, 488?

You can find a detailed procedure to find GCD of 790, 580, 56, 488 on our page.

3. How to find GCD of 790, 580, 56, 488 on a calculator?

You can find the GCD of 790, 580, 56, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.