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 471, 273, 54, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 273, 54, 248 is 1
GCD(471, 273, 54, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 273, 54, 248 is 1
GCD(471, 273, 54, 248) = 1
Given Input numbers are 471, 273, 54, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 471, 273, 54, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 273, 54, 248 is 1.
Therefore, GCD of numbers 471, 273, 54, 248 is 1
Given Input Data is 471, 273, 54, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 248 is 2 x 2 x 2 x 31
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(471, 273) = 42861
GCD(471, 273) = ( 471 x 273 ) / 42861
GCD(471, 273) = 128583 / 42861
GCD(471, 273) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
GCD(3, 54) = 162 / 54
GCD(3, 54) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 248) = 744
GCD(3, 248) = ( 3 x 248 ) / 744
GCD(3, 248) = 744 / 744
GCD(3, 248) = 1
GCD of 471, 273, 54, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 273, 54, 248?
GCD of 471, 273, 54, 248 is 1
2. Where do I get the detailed procedure to find GCD of 471, 273, 54, 248?
You can find a detailed procedure to find GCD of 471, 273, 54, 248 on our page.
3. How to find GCD of 471, 273, 54, 248 on a calculator?
You can find the GCD of 471, 273, 54, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.