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 521, 254, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 254, 89 is 1
GCD(521, 254, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 254, 89 is 1
GCD(521, 254, 89) = 1
Given Input numbers are 521, 254, 89
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 521, 254, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 254, 89 is 1.
Therefore, GCD of numbers 521, 254, 89 is 1
Given Input Data is 521, 254, 89
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 254 is 2 x 127
Prime Factorization of 89 is 89
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(521, 254) = 132334
GCD(521, 254) = ( 521 x 254 ) / 132334
GCD(521, 254) = 132334 / 132334
GCD(521, 254) = 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
GCD of 521, 254, 89 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 254, 89?
GCD of 521, 254, 89 is 1
2. Where do I get the detailed procedure to find GCD of 521, 254, 89?
You can find a detailed procedure to find GCD of 521, 254, 89 on our page.
3. How to find GCD of 521, 254, 89 on a calculator?
You can find the GCD of 521, 254, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.