GCD of 578, 862, 308, 397 Calculator

Given Input numbers are 578, 862, 308, 397

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 578, 862, 308, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 862, 308, 397 is 1.

Therefore, GCD of numbers 578, 862, 308, 397 is 1

Given Input Data is 578, 862, 308, 397

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 862 is 2 x 431

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 397 is 397

The above numbers do not have any common prime factor. So GCD is 1

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, 862) = 249118

GCD(578, 862) = ( 578 x 862 ) / 249118

GCD(578, 862) = 498236 / 249118

GCD(578, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

GCD of 578, 862, 308, 397 is 1

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1. What is the GCD of 578, 862, 308, 397?

GCD of 578, 862, 308, 397 is 1

2. Where do I get the detailed procedure to find GCD of 578, 862, 308, 397?

You can find a detailed procedure to find GCD of 578, 862, 308, 397 on our page.

3. How to find GCD of 578, 862, 308, 397 on a calculator?

You can find the GCD of 578, 862, 308, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.