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 983, 268, 28, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 268, 28, 565 is 1
GCD(983, 268, 28, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 268, 28, 565 is 1
GCD(983, 268, 28, 565) = 1
Given Input numbers are 983, 268, 28, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 983, 268, 28, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 268, 28, 565 is 1.
Therefore, GCD of numbers 983, 268, 28, 565 is 1
Given Input Data is 983, 268, 28, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 565 is 5 x 113
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(983, 268) = 263444
GCD(983, 268) = ( 983 x 268 ) / 263444
GCD(983, 268) = 263444 / 263444
GCD(983, 268) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 983, 268, 28, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 268, 28, 565?
GCD of 983, 268, 28, 565 is 1
2. Where do I get the detailed procedure to find GCD of 983, 268, 28, 565?
You can find a detailed procedure to find GCD of 983, 268, 28, 565 on our page.
3. How to find GCD of 983, 268, 28, 565 on a calculator?
You can find the GCD of 983, 268, 28, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.