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 29, 930, 690, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 930, 690, 404 is 1
GCD(29, 930, 690, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 930, 690, 404 is 1
GCD(29, 930, 690, 404) = 1
Given Input numbers are 29, 930, 690, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 29, 930, 690, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 930, 690, 404 is 1.
Therefore, GCD of numbers 29, 930, 690, 404 is 1
Given Input Data is 29, 930, 690, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 404 is 2 x 2 x 101
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(29, 930) = 26970
GCD(29, 930) = ( 29 x 930 ) / 26970
GCD(29, 930) = 26970 / 26970
GCD(29, 930) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 29, 930, 690, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 930, 690, 404?
GCD of 29, 930, 690, 404 is 1
2. Where do I get the detailed procedure to find GCD of 29, 930, 690, 404?
You can find a detailed procedure to find GCD of 29, 930, 690, 404 on our page.
3. How to find GCD of 29, 930, 690, 404 on a calculator?
You can find the GCD of 29, 930, 690, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.