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 44, 743, 349, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 743, 349, 680 is 1
GCD(44, 743, 349, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 743, 349, 680 is 1
GCD(44, 743, 349, 680) = 1
Given Input numbers are 44, 743, 349, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 44, 743, 349, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 743, 349, 680 is 1.
Therefore, GCD of numbers 44, 743, 349, 680 is 1
Given Input Data is 44, 743, 349, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 743 is 743
Prime Factorization of 349 is 349
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(44, 743) = 32692
GCD(44, 743) = ( 44 x 743 ) / 32692
GCD(44, 743) = 32692 / 32692
GCD(44, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 44, 743, 349, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 743, 349, 680?
GCD of 44, 743, 349, 680 is 1
2. Where do I get the detailed procedure to find GCD of 44, 743, 349, 680?
You can find a detailed procedure to find GCD of 44, 743, 349, 680 on our page.
3. How to find GCD of 44, 743, 349, 680 on a calculator?
You can find the GCD of 44, 743, 349, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.