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 909, 795, 457, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 795, 457, 384 is 1
GCD(909, 795, 457, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 795, 457, 384 is 1
GCD(909, 795, 457, 384) = 1
Given Input numbers are 909, 795, 457, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
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 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
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
Greatest Common Divisior
We found the divisors of 909, 795, 457, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 795, 457, 384 is 1.
Therefore, GCD of numbers 909, 795, 457, 384 is 1
Given Input Data is 909, 795, 457, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 457 is 457
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(909, 795) = 240885
GCD(909, 795) = ( 909 x 795 ) / 240885
GCD(909, 795) = 722655 / 240885
GCD(909, 795) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 457) = 1371
GCD(3, 457) = ( 3 x 457 ) / 1371
GCD(3, 457) = 1371 / 1371
GCD(3, 457) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 909, 795, 457, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 795, 457, 384?
GCD of 909, 795, 457, 384 is 1
2. Where do I get the detailed procedure to find GCD of 909, 795, 457, 384?
You can find a detailed procedure to find GCD of 909, 795, 457, 384 on our page.
3. How to find GCD of 909, 795, 457, 384 on a calculator?
You can find the GCD of 909, 795, 457, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.