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, 949, 44, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 929, 949, 44, 361 is 1
GCD(929, 949, 44, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 929, 949, 44, 361 is 1
GCD(929, 949, 44, 361) = 1
Given Input numbers are 929, 949, 44, 361
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 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 929, 949, 44, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 949, 44, 361 is 1.
Therefore, GCD of numbers 929, 949, 44, 361 is 1
Given Input Data is 929, 949, 44, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 929 is 929
Prime Factorization of 949 is 13 x 73
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 361 is 19 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(929, 949) = 881621
GCD(929, 949) = ( 929 x 949 ) / 881621
GCD(929, 949) = 881621 / 881621
GCD(929, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 929, 949, 44, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 929, 949, 44, 361?
GCD of 929, 949, 44, 361 is 1
2. Where do I get the detailed procedure to find GCD of 929, 949, 44, 361?
You can find a detailed procedure to find GCD of 929, 949, 44, 361 on our page.
3. How to find GCD of 929, 949, 44, 361 on a calculator?
You can find the GCD of 929, 949, 44, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.