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, 791, 196, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 791, 196, 392 is 1
GCD(44, 791, 196, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 791, 196, 392 is 1
GCD(44, 791, 196, 392) = 1
Given Input numbers are 44, 791, 196, 392
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 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 44, 791, 196, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 791, 196, 392 is 1.
Therefore, GCD of numbers 44, 791, 196, 392 is 1
Given Input Data is 44, 791, 196, 392
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 791 is 7 x 113
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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, 791) = 34804
GCD(44, 791) = ( 44 x 791 ) / 34804
GCD(44, 791) = 34804 / 34804
GCD(44, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 44, 791, 196, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 791, 196, 392?
GCD of 44, 791, 196, 392 is 1
2. Where do I get the detailed procedure to find GCD of 44, 791, 196, 392?
You can find a detailed procedure to find GCD of 44, 791, 196, 392 on our page.
3. How to find GCD of 44, 791, 196, 392 on a calculator?
You can find the GCD of 44, 791, 196, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.