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, 991, 873, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 991, 873, 421 is 1
GCD(490, 991, 873, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 991, 873, 421 is 1
GCD(490, 991, 873, 421) = 1
Given Input numbers are 490, 991, 873, 421
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 490, 991, 873, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 991, 873, 421 is 1.
Therefore, GCD of numbers 490, 991, 873, 421 is 1
Given Input Data is 490, 991, 873, 421
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 991 is 991
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 421 is 421
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, 991) = 485590
GCD(490, 991) = ( 490 x 991 ) / 485590
GCD(490, 991) = 485590 / 485590
GCD(490, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 490, 991, 873, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 991, 873, 421?
GCD of 490, 991, 873, 421 is 1
2. Where do I get the detailed procedure to find GCD of 490, 991, 873, 421?
You can find a detailed procedure to find GCD of 490, 991, 873, 421 on our page.
3. How to find GCD of 490, 991, 873, 421 on a calculator?
You can find the GCD of 490, 991, 873, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.