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, 922, 362 i.e. 2 largest integer that divides all the numbers equally.
GCD of 598, 922, 362 is 2
GCD(598, 922, 362) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 922, 362 is 2
GCD(598, 922, 362) = 2
Given Input numbers are 598, 922, 362
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 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 598, 922, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 922, 362 is 2.
Therefore, GCD of numbers 598, 922, 362 is 2
Given Input Data is 598, 922, 362
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 922 is 2 x 461
Prime Factorization of 362 is 2 x 181
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 922) = 275678
GCD(598, 922) = ( 598 x 922 ) / 275678
GCD(598, 922) = 551356 / 275678
GCD(598, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
GCD(2, 362) = 724 / 362
GCD(2, 362) = 2
GCD of 598, 922, 362 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 922, 362?
GCD of 598, 922, 362 is 2
2. Where do I get the detailed procedure to find GCD of 598, 922, 362?
You can find a detailed procedure to find GCD of 598, 922, 362 on our page.
3. How to find GCD of 598, 922, 362 on a calculator?
You can find the GCD of 598, 922, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.