GCD of 578, 354, 682 Calculator

Given Input numbers are 578, 354, 682

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 578, 354, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 354, 682 is 2.

Therefore, GCD of numbers 578, 354, 682 is 2

Given Input Data is 578, 354, 682

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 354 is 2 x 3 x 59

Prime Factorization of 682 is 2 x 11 x 31

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, 354) = 102306

GCD(578, 354) = ( 578 x 354 ) / 102306

GCD(578, 354) = 204612 / 102306

GCD(578, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 578, 354, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 168, 970
• GCD of 353, 229, 156
• GCD of 224, 835, 660
• GCD of 390, 999, 335
• GCD of 570, 257, 264

1. What is the GCD of 578, 354, 682?

GCD of 578, 354, 682 is 2

2. Where do I get the detailed procedure to find GCD of 578, 354, 682?

You can find a detailed procedure to find GCD of 578, 354, 682 on our page.

3. How to find GCD of 578, 354, 682 on a calculator?

You can find the GCD of 578, 354, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.