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 269, 537, 90, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 537, 90, 913 is 1
GCD(269, 537, 90, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 537, 90, 913 is 1
GCD(269, 537, 90, 913) = 1
Given Input numbers are 269, 537, 90, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 269, 537, 90, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 537, 90, 913 is 1.
Therefore, GCD of numbers 269, 537, 90, 913 is 1
Given Input Data is 269, 537, 90, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 537 is 3 x 179
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 913 is 11 x 83
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(269, 537) = 144453
GCD(269, 537) = ( 269 x 537 ) / 144453
GCD(269, 537) = 144453 / 144453
GCD(269, 537) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 269, 537, 90, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 537, 90, 913?
GCD of 269, 537, 90, 913 is 1
2. Where do I get the detailed procedure to find GCD of 269, 537, 90, 913?
You can find a detailed procedure to find GCD of 269, 537, 90, 913 on our page.
3. How to find GCD of 269, 537, 90, 913 on a calculator?
You can find the GCD of 269, 537, 90, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.