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 380, 981, 341, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 981, 341, 491 is 1
GCD(380, 981, 341, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 981, 341, 491 is 1
GCD(380, 981, 341, 491) = 1
Given Input numbers are 380, 981, 341, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 380, 981, 341, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 981, 341, 491 is 1.
Therefore, GCD of numbers 380, 981, 341, 491 is 1
Given Input Data is 380, 981, 341, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 341 is 11 x 31
Prime Factorization of 491 is 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(380, 981) = 372780
GCD(380, 981) = ( 380 x 981 ) / 372780
GCD(380, 981) = 372780 / 372780
GCD(380, 981) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 380, 981, 341, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 981, 341, 491?
GCD of 380, 981, 341, 491 is 1
2. Where do I get the detailed procedure to find GCD of 380, 981, 341, 491?
You can find a detailed procedure to find GCD of 380, 981, 341, 491 on our page.
3. How to find GCD of 380, 981, 341, 491 on a calculator?
You can find the GCD of 380, 981, 341, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.