GCD of 308, 703, 578, 322 Calculator

Given Input numbers are 308, 703, 578, 322

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

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 308, 703, 578, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 703, 578, 322 is 1.

Therefore, GCD of numbers 308, 703, 578, 322 is 1

Given Input Data is 308, 703, 578, 322

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

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 322 is 2 x 7 x 23

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(308, 703) = 216524

GCD(308, 703) = ( 308 x 703 ) / 216524

GCD(308, 703) = 216524 / 216524

GCD(308, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 308, 703, 578, 322 is 1

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1. What is the GCD of 308, 703, 578, 322?

GCD of 308, 703, 578, 322 is 1

2. Where do I get the detailed procedure to find GCD of 308, 703, 578, 322?

You can find a detailed procedure to find GCD of 308, 703, 578, 322 on our page.

3. How to find GCD of 308, 703, 578, 322 on a calculator?

You can find the GCD of 308, 703, 578, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.