GCD of 578, 744, 790 Calculator

Given Input numbers are 578, 744, 790

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 790

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

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

Greatest Common Divisior

We found the divisors of 578, 744, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 744, 790 is 2.

Therefore, GCD of numbers 578, 744, 790 is 2

Given Input Data is 578, 744, 790

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 790 is 2 x 5 x 79

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(578, 744) = 215016

GCD(578, 744) = ( 578 x 744 ) / 215016

GCD(578, 744) = 430032 / 215016

GCD(578, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 578, 744, 790 is 2

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1. What is the GCD of 578, 744, 790?

GCD of 578, 744, 790 is 2

2. Where do I get the detailed procedure to find GCD of 578, 744, 790?

You can find a detailed procedure to find GCD of 578, 744, 790 on our page.

3. How to find GCD of 578, 744, 790 on a calculator?

You can find the GCD of 578, 744, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.