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 795, 741, 384, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 741, 384, 979 is 1
GCD(795, 741, 384, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 741, 384, 979 is 1
GCD(795, 741, 384, 979) = 1
Given Input numbers are 795, 741, 384, 979
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Greatest Common Divisior
We found the divisors of 795, 741, 384, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 741, 384, 979 is 1.
Therefore, GCD of numbers 795, 741, 384, 979 is 1
Given Input Data is 795, 741, 384, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 979 is 11 x 89
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(795, 741) = 196365
GCD(795, 741) = ( 795 x 741 ) / 196365
GCD(795, 741) = 589095 / 196365
GCD(795, 741) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
GCD(3, 384) = 1152 / 384
GCD(3, 384) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 979) = 2937
GCD(3, 979) = ( 3 x 979 ) / 2937
GCD(3, 979) = 2937 / 2937
GCD(3, 979) = 1
GCD of 795, 741, 384, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 741, 384, 979?
GCD of 795, 741, 384, 979 is 1
2. Where do I get the detailed procedure to find GCD of 795, 741, 384, 979?
You can find a detailed procedure to find GCD of 795, 741, 384, 979 on our page.
3. How to find GCD of 795, 741, 384, 979 on a calculator?
You can find the GCD of 795, 741, 384, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.