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 169, 988, 13, 583 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 988, 13, 583 is 1
GCD(169, 988, 13, 583) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 988, 13, 583 is 1
GCD(169, 988, 13, 583) = 1
Given Input numbers are 169, 988, 13, 583
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Greatest Common Divisior
We found the divisors of 169, 988, 13, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 988, 13, 583 is 1.
Therefore, GCD of numbers 169, 988, 13, 583 is 1
Given Input Data is 169, 988, 13, 583
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 13 is 13
Prime Factorization of 583 is 11 x 53
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(169, 988) = 12844
GCD(169, 988) = ( 169 x 988 ) / 12844
GCD(169, 988) = 166972 / 12844
GCD(169, 988) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 13) = 13
GCD(13, 13) = ( 13 x 13 ) / 13
GCD(13, 13) = 169 / 13
GCD(13, 13) = 13
Step3:
Here we consider the GCD from the above i.e. 13 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 583) = 7579
GCD(13, 583) = ( 13 x 583 ) / 7579
GCD(13, 583) = 7579 / 7579
GCD(13, 583) = 1
GCD of 169, 988, 13, 583 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 988, 13, 583?
GCD of 169, 988, 13, 583 is 1
2. Where do I get the detailed procedure to find GCD of 169, 988, 13, 583?
You can find a detailed procedure to find GCD of 169, 988, 13, 583 on our page.
3. How to find GCD of 169, 988, 13, 583 on a calculator?
You can find the GCD of 169, 988, 13, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.