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 440, 829, 46, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 829, 46, 931 is 1
GCD(440, 829, 46, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 829, 46, 931 is 1
GCD(440, 829, 46, 931) = 1
Given Input numbers are 440, 829, 46, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 440, 829, 46, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 829, 46, 931 is 1.
Therefore, GCD of numbers 440, 829, 46, 931 is 1
Given Input Data is 440, 829, 46, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 829 is 829
Prime Factorization of 46 is 2 x 23
Prime Factorization of 931 is 7 x 7 x 19
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(440, 829) = 364760
GCD(440, 829) = ( 440 x 829 ) / 364760
GCD(440, 829) = 364760 / 364760
GCD(440, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 440, 829, 46, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 829, 46, 931?
GCD of 440, 829, 46, 931 is 1
2. Where do I get the detailed procedure to find GCD of 440, 829, 46, 931?
You can find a detailed procedure to find GCD of 440, 829, 46, 931 on our page.
3. How to find GCD of 440, 829, 46, 931 on a calculator?
You can find the GCD of 440, 829, 46, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.