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 929, 371, 25, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 929, 371, 25, 522 is 1
GCD(929, 371, 25, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 929, 371, 25, 522 is 1
GCD(929, 371, 25, 522) = 1
Given Input numbers are 929, 371, 25, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
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
Greatest Common Divisior
We found the divisors of 929, 371, 25, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 371, 25, 522 is 1.
Therefore, GCD of numbers 929, 371, 25, 522 is 1
Given Input Data is 929, 371, 25, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 929 is 929
Prime Factorization of 371 is 7 x 53
Prime Factorization of 25 is 5 x 5
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(929, 371) = 344659
GCD(929, 371) = ( 929 x 371 ) / 344659
GCD(929, 371) = 344659 / 344659
GCD(929, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 929, 371, 25, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 929, 371, 25, 522?
GCD of 929, 371, 25, 522 is 1
2. Where do I get the detailed procedure to find GCD of 929, 371, 25, 522?
You can find a detailed procedure to find GCD of 929, 371, 25, 522 on our page.
3. How to find GCD of 929, 371, 25, 522 on a calculator?
You can find the GCD of 929, 371, 25, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.