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 538, 477, 29, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 477, 29, 921 is 1
GCD(538, 477, 29, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 477, 29, 921 is 1
GCD(538, 477, 29, 921) = 1
Given Input numbers are 538, 477, 29, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 538, 477, 29, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 477, 29, 921 is 1.
Therefore, GCD of numbers 538, 477, 29, 921 is 1
Given Input Data is 538, 477, 29, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 29 is 29
Prime Factorization of 921 is 3 x 307
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(538, 477) = 256626
GCD(538, 477) = ( 538 x 477 ) / 256626
GCD(538, 477) = 256626 / 256626
GCD(538, 477) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 538, 477, 29, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 477, 29, 921?
GCD of 538, 477, 29, 921 is 1
2. Where do I get the detailed procedure to find GCD of 538, 477, 29, 921?
You can find a detailed procedure to find GCD of 538, 477, 29, 921 on our page.
3. How to find GCD of 538, 477, 29, 921 on a calculator?
You can find the GCD of 538, 477, 29, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.