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 57, 464, 269, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 464, 269, 838 is 1
GCD(57, 464, 269, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 464, 269, 838 is 1
GCD(57, 464, 269, 838) = 1
Given Input numbers are 57, 464, 269, 838
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 57, 464, 269, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 464, 269, 838 is 1.
Therefore, GCD of numbers 57, 464, 269, 838 is 1
Given Input Data is 57, 464, 269, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 269 is 269
Prime Factorization of 838 is 2 x 419
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(57, 464) = 26448
GCD(57, 464) = ( 57 x 464 ) / 26448
GCD(57, 464) = 26448 / 26448
GCD(57, 464) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 57, 464, 269, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 464, 269, 838?
GCD of 57, 464, 269, 838 is 1
2. Where do I get the detailed procedure to find GCD of 57, 464, 269, 838?
You can find a detailed procedure to find GCD of 57, 464, 269, 838 on our page.
3. How to find GCD of 57, 464, 269, 838 on a calculator?
You can find the GCD of 57, 464, 269, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.