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 490, 241, 791, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 241, 791, 380 is 1
GCD(490, 241, 791, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 241, 791, 380 is 1
GCD(490, 241, 791, 380) = 1
Given Input numbers are 490, 241, 791, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
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
Greatest Common Divisior
We found the divisors of 490, 241, 791, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 241, 791, 380 is 1.
Therefore, GCD of numbers 490, 241, 791, 380 is 1
Given Input Data is 490, 241, 791, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 241 is 241
Prime Factorization of 791 is 7 x 113
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(490, 241) = 118090
GCD(490, 241) = ( 490 x 241 ) / 118090
GCD(490, 241) = 118090 / 118090
GCD(490, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 490, 241, 791, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 241, 791, 380?
GCD of 490, 241, 791, 380 is 1
2. Where do I get the detailed procedure to find GCD of 490, 241, 791, 380?
You can find a detailed procedure to find GCD of 490, 241, 791, 380 on our page.
3. How to find GCD of 490, 241, 791, 380 on a calculator?
You can find the GCD of 490, 241, 791, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.