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 202, 269, 89, 590 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 269, 89, 590 is 1
GCD(202, 269, 89, 590) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 269, 89, 590 is 1
GCD(202, 269, 89, 590) = 1
Given Input numbers are 202, 269, 89, 590
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 202, 269, 89, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 269, 89, 590 is 1.
Therefore, GCD of numbers 202, 269, 89, 590 is 1
Given Input Data is 202, 269, 89, 590
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 269 is 269
Prime Factorization of 89 is 89
Prime Factorization of 590 is 2 x 5 x 59
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(202, 269) = 54338
GCD(202, 269) = ( 202 x 269 ) / 54338
GCD(202, 269) = 54338 / 54338
GCD(202, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
GCD of 202, 269, 89, 590 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 269, 89, 590?
GCD of 202, 269, 89, 590 is 1
2. Where do I get the detailed procedure to find GCD of 202, 269, 89, 590?
You can find a detailed procedure to find GCD of 202, 269, 89, 590 on our page.
3. How to find GCD of 202, 269, 89, 590 on a calculator?
You can find the GCD of 202, 269, 89, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.