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 645, 998, 40, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 998, 40, 484 is 1
GCD(645, 998, 40, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 998, 40, 484 is 1
GCD(645, 998, 40, 484) = 1
Given Input numbers are 645, 998, 40, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 645, 998, 40, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 998, 40, 484 is 1.
Therefore, GCD of numbers 645, 998, 40, 484 is 1
Given Input Data is 645, 998, 40, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 998 is 2 x 499
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 484 is 2 x 2 x 11 x 11
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(645, 998) = 643710
GCD(645, 998) = ( 645 x 998 ) / 643710
GCD(645, 998) = 643710 / 643710
GCD(645, 998) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 645, 998, 40, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 998, 40, 484?
GCD of 645, 998, 40, 484 is 1
2. Where do I get the detailed procedure to find GCD of 645, 998, 40, 484?
You can find a detailed procedure to find GCD of 645, 998, 40, 484 on our page.
3. How to find GCD of 645, 998, 40, 484 on a calculator?
You can find the GCD of 645, 998, 40, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.