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 523, 921, 75, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 523, 921, 75, 481 is 1
GCD(523, 921, 75, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 523, 921, 75, 481 is 1
GCD(523, 921, 75, 481) = 1
Given Input numbers are 523, 921, 75, 481
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 523, 921, 75, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 921, 75, 481 is 1.
Therefore, GCD of numbers 523, 921, 75, 481 is 1
Given Input Data is 523, 921, 75, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 523 is 523
Prime Factorization of 921 is 3 x 307
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 481 is 13 x 37
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(523, 921) = 481683
GCD(523, 921) = ( 523 x 921 ) / 481683
GCD(523, 921) = 481683 / 481683
GCD(523, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
GCD of 523, 921, 75, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 523, 921, 75, 481?
GCD of 523, 921, 75, 481 is 1
2. Where do I get the detailed procedure to find GCD of 523, 921, 75, 481?
You can find a detailed procedure to find GCD of 523, 921, 75, 481 on our page.
3. How to find GCD of 523, 921, 75, 481 on a calculator?
You can find the GCD of 523, 921, 75, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.