GCD of 98, 48, 20 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 98, 48, 20 i.e. 2 largest integer that divides all the numbers equally.

GCD of 98, 48, 20 is 2

GCD(98, 48, 20) = 2

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

GCD of

GCD of numbers 98, 48, 20 is 2

GCD(98, 48, 20) = 2

GCD of 98,48,20 Calculator

GCDof 98,48,20 is 2

Given Input numbers are 98, 48, 20

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Greatest Common Divisior

We found the divisors of 98, 48, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 48, 20 is 2.

Therefore, GCD of numbers 98, 48, 20 is 2

Finding GCD of 98, 48, 20 using Prime Factorization

Given Input Data is 98, 48, 20

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 20 is 2 x 2 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 98, 48, 20 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(98, 48) = 2352

GCD(98, 48) = ( 98 x 48 ) / 2352

GCD(98, 48) = 4704 / 2352

GCD(98, 48) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

GCD of 98, 48, 20 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 98, 48, 20

1. What is the GCD of 98, 48, 20?

GCD of 98, 48, 20 is 2

2. Where do I get the detailed procedure to find GCD of 98, 48, 20?

You can find a detailed procedure to find GCD of 98, 48, 20 on our page.

3. How to find GCD of 98, 48, 20 on a calculator?

You can find the GCD of 98, 48, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.