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 238, 903, 51, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 903, 51, 957 is 1
GCD(238, 903, 51, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 903, 51, 957 is 1
GCD(238, 903, 51, 957) = 1
Given Input numbers are 238, 903, 51, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 238, 903, 51, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 903, 51, 957 is 1.
Therefore, GCD of numbers 238, 903, 51, 957 is 1
Given Input Data is 238, 903, 51, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 51 is 3 x 17
Prime Factorization of 957 is 3 x 11 x 29
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(238, 903) = 30702
GCD(238, 903) = ( 238 x 903 ) / 30702
GCD(238, 903) = 214914 / 30702
GCD(238, 903) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 51) = 357
GCD(7, 51) = ( 7 x 51 ) / 357
GCD(7, 51) = 357 / 357
GCD(7, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
GCD(1, 957) = 957 / 957
GCD(1, 957) = 1
GCD of 238, 903, 51, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 903, 51, 957?
GCD of 238, 903, 51, 957 is 1
2. Where do I get the detailed procedure to find GCD of 238, 903, 51, 957?
You can find a detailed procedure to find GCD of 238, 903, 51, 957 on our page.
3. How to find GCD of 238, 903, 51, 957 on a calculator?
You can find the GCD of 238, 903, 51, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.