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 424, 844, 29, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 844, 29, 529 is 1
GCD(424, 844, 29, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 844, 29, 529 is 1
GCD(424, 844, 29, 529) = 1
Given Input numbers are 424, 844, 29, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 424, 844, 29, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 844, 29, 529 is 1.
Therefore, GCD of numbers 424, 844, 29, 529 is 1
Given Input Data is 424, 844, 29, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 29 is 29
Prime Factorization of 529 is 23 x 23
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(424, 844) = 89464
GCD(424, 844) = ( 424 x 844 ) / 89464
GCD(424, 844) = 357856 / 89464
GCD(424, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 29) = 116
GCD(4, 29) = ( 4 x 29 ) / 116
GCD(4, 29) = 116 / 116
GCD(4, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 424, 844, 29, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 844, 29, 529?
GCD of 424, 844, 29, 529 is 1
2. Where do I get the detailed procedure to find GCD of 424, 844, 29, 529?
You can find a detailed procedure to find GCD of 424, 844, 29, 529 on our page.
3. How to find GCD of 424, 844, 29, 529 on a calculator?
You can find the GCD of 424, 844, 29, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.