GCD of 392, 196, 998 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 392, 196, 998 i.e. 2 largest integer that divides all the numbers equally.

GCD of 392, 196, 998 is 2

GCD(392, 196, 998) = 2

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

GCD of

GCD of numbers 392, 196, 998 is 2

GCD(392, 196, 998) = 2

GCD of 392,196,998 Calculator

GCDof 392,196,998 is 2

Given Input numbers are 392, 196, 998

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 392, 196, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 196, 998 is 2.

Therefore, GCD of numbers 392, 196, 998 is 2

Finding GCD of 392, 196, 998 using Prime Factorization

Given Input Data is 392, 196, 998

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 392, 196, 998 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(392, 196) = 392

GCD(392, 196) = ( 392 x 196 ) / 392

GCD(392, 196) = 76832 / 392

GCD(392, 196) = 196

Step2:

Here we consider the GCD from the above i.e. 196 as first number and the next as 998

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

LCM(196, 998) = 97804

GCD(196, 998) = ( 196 x 998 ) / 97804

GCD(196, 998) = 195608 / 97804

GCD(196, 998) = 2

GCD of 392, 196, 998 is 2

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FAQs on GCD of numbers 392, 196, 998

1. What is the GCD of 392, 196, 998?

GCD of 392, 196, 998 is 2

2. Where do I get the detailed procedure to find GCD of 392, 196, 998?

You can find a detailed procedure to find GCD of 392, 196, 998 on our page.

3. How to find GCD of 392, 196, 998 on a calculator?

You can find the GCD of 392, 196, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.