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 359, 197, 99, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 197, 99, 334 is 1
GCD(359, 197, 99, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 197, 99, 334 is 1
GCD(359, 197, 99, 334) = 1
Given Input numbers are 359, 197, 99, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 359, 197, 99, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 197, 99, 334 is 1.
Therefore, GCD of numbers 359, 197, 99, 334 is 1
Given Input Data is 359, 197, 99, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 197 is 197
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 334 is 2 x 167
The above numbers do not have any common prime factor. So GCD is 1
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(359, 197) = 70723
GCD(359, 197) = ( 359 x 197 ) / 70723
GCD(359, 197) = 70723 / 70723
GCD(359, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 359, 197, 99, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 197, 99, 334?
GCD of 359, 197, 99, 334 is 1
2. Where do I get the detailed procedure to find GCD of 359, 197, 99, 334?
You can find a detailed procedure to find GCD of 359, 197, 99, 334 on our page.
3. How to find GCD of 359, 197, 99, 334 on a calculator?
You can find the GCD of 359, 197, 99, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.