GCD of 144, 794, 580 Calculator

Given Input numbers are 144, 794, 580

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 144, 794, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 794, 580 is 2.

Therefore, GCD of numbers 144, 794, 580 is 2

Given Input Data is 144, 794, 580

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 794 is 2 x 397

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

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(144, 794) = 57168

GCD(144, 794) = ( 144 x 794 ) / 57168

GCD(144, 794) = 114336 / 57168

GCD(144, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 144, 794, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 751, 902
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• GCD of 668, 890, 954
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1. What is the GCD of 144, 794, 580?

GCD of 144, 794, 580 is 2

2. Where do I get the detailed procedure to find GCD of 144, 794, 580?

You can find a detailed procedure to find GCD of 144, 794, 580 on our page.

3. How to find GCD of 144, 794, 580 on a calculator?

You can find the GCD of 144, 794, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.