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, 924, 924, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 924, 924, 254 is 1
GCD(57, 924, 924, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 924, 924, 254 is 1
GCD(57, 924, 924, 254) = 1
Given Input numbers are 57, 924, 924, 254
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 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 57, 924, 924, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 924, 924, 254 is 1.
Therefore, GCD of numbers 57, 924, 924, 254 is 1
Given Input Data is 57, 924, 924, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 254 is 2 x 127
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, 924) = 17556
GCD(57, 924) = ( 57 x 924 ) / 17556
GCD(57, 924) = 52668 / 17556
GCD(57, 924) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 924) = 924
GCD(3, 924) = ( 3 x 924 ) / 924
GCD(3, 924) = 2772 / 924
GCD(3, 924) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 254) = 762
GCD(3, 254) = ( 3 x 254 ) / 762
GCD(3, 254) = 762 / 762
GCD(3, 254) = 1
GCD of 57, 924, 924, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 924, 924, 254?
GCD of 57, 924, 924, 254 is 1
2. Where do I get the detailed procedure to find GCD of 57, 924, 924, 254?
You can find a detailed procedure to find GCD of 57, 924, 924, 254 on our page.
3. How to find GCD of 57, 924, 924, 254 on a calculator?
You can find the GCD of 57, 924, 924, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.