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 597, 829, 121, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 829, 121, 334 is 1
GCD(597, 829, 121, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 829, 121, 334 is 1
GCD(597, 829, 121, 334) = 1
Given Input numbers are 597, 829, 121, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
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 597, 829, 121, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 829, 121, 334 is 1.
Therefore, GCD of numbers 597, 829, 121, 334 is 1
Given Input Data is 597, 829, 121, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 829 is 829
Prime Factorization of 121 is 11 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(597, 829) = 494913
GCD(597, 829) = ( 597 x 829 ) / 494913
GCD(597, 829) = 494913 / 494913
GCD(597, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 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 597, 829, 121, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 829, 121, 334?
GCD of 597, 829, 121, 334 is 1
2. Where do I get the detailed procedure to find GCD of 597, 829, 121, 334?
You can find a detailed procedure to find GCD of 597, 829, 121, 334 on our page.
3. How to find GCD of 597, 829, 121, 334 on a calculator?
You can find the GCD of 597, 829, 121, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.