GCD of 598, 338, 242 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 598, 338, 242 i.e. 2 largest integer that divides all the numbers equally.
GCD of 598, 338, 242 is 2
GCD(598, 338, 242) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 338, 242 is 2
GCD(598, 338, 242) = 2
GCDof 598,338,242 is 2
Given Input numbers are 598, 338, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 598, 338, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 338, 242 is 2.
Therefore, GCD of numbers 598, 338, 242 is 2
Given Input Data is 598, 338, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 242 is 2 x 11 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 598, 338, 242 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(598, 338) = 7774
GCD(598, 338) = ( 598 x 338 ) / 7774
GCD(598, 338) = 202124 / 7774
GCD(598, 338) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 242) = 3146
GCD(26, 242) = ( 26 x 242 ) / 3146
GCD(26, 242) = 6292 / 3146
GCD(26, 242) = 2
GCD of 598, 338, 242 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 598, 338, 242
1. What is the GCD of 598, 338, 242?
GCD of 598, 338, 242 is 2
2. Where do I get the detailed procedure to find GCD of 598, 338, 242?
You can find a detailed procedure to find GCD of 598, 338, 242 on our page.
3. How to find GCD of 598, 338, 242 on a calculator?
You can find the GCD of 598, 338, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.