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 538, 991, 20, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 991, 20, 283 is 1
GCD(538, 991, 20, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 991, 20, 283 is 1
GCD(538, 991, 20, 283) = 1
Given Input numbers are 538, 991, 20, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 538, 991, 20, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 991, 20, 283 is 1.
Therefore, GCD of numbers 538, 991, 20, 283 is 1
Given Input Data is 538, 991, 20, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 991 is 991
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 283 is 283
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(538, 991) = 533158
GCD(538, 991) = ( 538 x 991 ) / 533158
GCD(538, 991) = 533158 / 533158
GCD(538, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 538, 991, 20, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 991, 20, 283?
GCD of 538, 991, 20, 283 is 1
2. Where do I get the detailed procedure to find GCD of 538, 991, 20, 283?
You can find a detailed procedure to find GCD of 538, 991, 20, 283 on our page.
3. How to find GCD of 538, 991, 20, 283 on a calculator?
You can find the GCD of 538, 991, 20, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.