GCD of 398, 268, 983 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 398, 268, 983 i.e. 1 largest integer that divides all the numbers equally.

GCD of 398, 268, 983 is 1

GCD(398, 268, 983) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 398, 268, 983 is 1

GCD(398, 268, 983) = 1

GCD of 398,268,983 Calculator

GCDof 398,268,983 is 1

Given Input numbers are 398, 268, 983

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 398, 268, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 268, 983 is 1.

Therefore, GCD of numbers 398, 268, 983 is 1

Finding GCD of 398, 268, 983 using Prime Factorization

Given Input Data is 398, 268, 983

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 983 is 983

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

Finding GCD of 398, 268, 983 using LCM Formula

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(398, 268) = 53332

GCD(398, 268) = ( 398 x 268 ) / 53332

GCD(398, 268) = 106664 / 53332

GCD(398, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 398, 268, 983 is 1

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FAQs on GCD of numbers 398, 268, 983

1. What is the GCD of 398, 268, 983?

GCD of 398, 268, 983 is 1

2. Where do I get the detailed procedure to find GCD of 398, 268, 983?

You can find a detailed procedure to find GCD of 398, 268, 983 on our page.

3. How to find GCD of 398, 268, 983 on a calculator?

You can find the GCD of 398, 268, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.