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 923, 248, 448, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 248, 448, 422 is 1
GCD(923, 248, 448, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 248, 448, 422 is 1
GCD(923, 248, 448, 422) = 1
Given Input numbers are 923, 248, 448, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 923, 248, 448, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 248, 448, 422 is 1.
Therefore, GCD of numbers 923, 248, 448, 422 is 1
Given Input Data is 923, 248, 448, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 422 is 2 x 211
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(923, 248) = 228904
GCD(923, 248) = ( 923 x 248 ) / 228904
GCD(923, 248) = 228904 / 228904
GCD(923, 248) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 923, 248, 448, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 248, 448, 422?
GCD of 923, 248, 448, 422 is 1
2. Where do I get the detailed procedure to find GCD of 923, 248, 448, 422?
You can find a detailed procedure to find GCD of 923, 248, 448, 422 on our page.
3. How to find GCD of 923, 248, 448, 422 on a calculator?
You can find the GCD of 923, 248, 448, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.