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 369, 521, 410, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 521, 410, 982 is 1
GCD(369, 521, 410, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 521, 410, 982 is 1
GCD(369, 521, 410, 982) = 1
Given Input numbers are 369, 521, 410, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 369, 521, 410, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 521, 410, 982 is 1.
Therefore, GCD of numbers 369, 521, 410, 982 is 1
Given Input Data is 369, 521, 410, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 521 is 521
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 982 is 2 x 491
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(369, 521) = 192249
GCD(369, 521) = ( 369 x 521 ) / 192249
GCD(369, 521) = 192249 / 192249
GCD(369, 521) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 369, 521, 410, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 521, 410, 982?
GCD of 369, 521, 410, 982 is 1
2. Where do I get the detailed procedure to find GCD of 369, 521, 410, 982?
You can find a detailed procedure to find GCD of 369, 521, 410, 982 on our page.
3. How to find GCD of 369, 521, 410, 982 on a calculator?
You can find the GCD of 369, 521, 410, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.