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 739, 404, 940, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 404, 940, 983 is 1
GCD(739, 404, 940, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 404, 940, 983 is 1
GCD(739, 404, 940, 983) = 1
Given Input numbers are 739, 404, 940, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 739, 404, 940, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 404, 940, 983 is 1.
Therefore, GCD of numbers 739, 404, 940, 983 is 1
Given Input Data is 739, 404, 940, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 983 is 983
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(739, 404) = 298556
GCD(739, 404) = ( 739 x 404 ) / 298556
GCD(739, 404) = 298556 / 298556
GCD(739, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 739, 404, 940, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 404, 940, 983?
GCD of 739, 404, 940, 983 is 1
2. Where do I get the detailed procedure to find GCD of 739, 404, 940, 983?
You can find a detailed procedure to find GCD of 739, 404, 940, 983 on our page.
3. How to find GCD of 739, 404, 940, 983 on a calculator?
You can find the GCD of 739, 404, 940, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.