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 982, 295, 412, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 295, 412, 394 is 1
GCD(982, 295, 412, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 295, 412, 394 is 1
GCD(982, 295, 412, 394) = 1
Given Input numbers are 982, 295, 412, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 982, 295, 412, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 295, 412, 394 is 1.
Therefore, GCD of numbers 982, 295, 412, 394 is 1
Given Input Data is 982, 295, 412, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 295 is 5 x 59
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 394 is 2 x 197
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(982, 295) = 289690
GCD(982, 295) = ( 982 x 295 ) / 289690
GCD(982, 295) = 289690 / 289690
GCD(982, 295) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 982, 295, 412, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 295, 412, 394?
GCD of 982, 295, 412, 394 is 1
2. Where do I get the detailed procedure to find GCD of 982, 295, 412, 394?
You can find a detailed procedure to find GCD of 982, 295, 412, 394 on our page.
3. How to find GCD of 982, 295, 412, 394 on a calculator?
You can find the GCD of 982, 295, 412, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.