GCD of 358, 768, 578, 697 Calculator

Given Input numbers are 358, 768, 578, 697

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 358, 768, 578, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 768, 578, 697 is 1.

Therefore, GCD of numbers 358, 768, 578, 697 is 1

Given Input Data is 358, 768, 578, 697

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 697 is 17 x 41

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(358, 768) = 137472

GCD(358, 768) = ( 358 x 768 ) / 137472

GCD(358, 768) = 274944 / 137472

GCD(358, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 358, 768, 578, 697 is 1

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1. What is the GCD of 358, 768, 578, 697?

GCD of 358, 768, 578, 697 is 1

2. Where do I get the detailed procedure to find GCD of 358, 768, 578, 697?

You can find a detailed procedure to find GCD of 358, 768, 578, 697 on our page.

3. How to find GCD of 358, 768, 578, 697 on a calculator?

You can find the GCD of 358, 768, 578, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.