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 522, 386, 421, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 386, 421, 976 is 1
GCD(522, 386, 421, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 386, 421, 976 is 1
GCD(522, 386, 421, 976) = 1
Given Input numbers are 522, 386, 421, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 522, 386, 421, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 386, 421, 976 is 1.
Therefore, GCD of numbers 522, 386, 421, 976 is 1
Given Input Data is 522, 386, 421, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 386 is 2 x 193
Prime Factorization of 421 is 421
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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(522, 386) = 100746
GCD(522, 386) = ( 522 x 386 ) / 100746
GCD(522, 386) = 201492 / 100746
GCD(522, 386) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 421) = 842
GCD(2, 421) = ( 2 x 421 ) / 842
GCD(2, 421) = 842 / 842
GCD(2, 421) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 522, 386, 421, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 386, 421, 976?
GCD of 522, 386, 421, 976 is 1
2. Where do I get the detailed procedure to find GCD of 522, 386, 421, 976?
You can find a detailed procedure to find GCD of 522, 386, 421, 976 on our page.
3. How to find GCD of 522, 386, 421, 976 on a calculator?
You can find the GCD of 522, 386, 421, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.