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 909, 529, 42, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 529, 42, 928 is 1
GCD(909, 529, 42, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 529, 42, 928 is 1
GCD(909, 529, 42, 928) = 1
Given Input numbers are 909, 529, 42, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 909, 529, 42, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 529, 42, 928 is 1.
Therefore, GCD of numbers 909, 529, 42, 928 is 1
Given Input Data is 909, 529, 42, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 529 is 23 x 23
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 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(909, 529) = 480861
GCD(909, 529) = ( 909 x 529 ) / 480861
GCD(909, 529) = 480861 / 480861
GCD(909, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 909, 529, 42, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 529, 42, 928?
GCD of 909, 529, 42, 928 is 1
2. Where do I get the detailed procedure to find GCD of 909, 529, 42, 928?
You can find a detailed procedure to find GCD of 909, 529, 42, 928 on our page.
3. How to find GCD of 909, 529, 42, 928 on a calculator?
You can find the GCD of 909, 529, 42, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.