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 483, 311, 457, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 311, 457, 458 is 1
GCD(483, 311, 457, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 311, 457, 458 is 1
GCD(483, 311, 457, 458) = 1
Given Input numbers are 483, 311, 457, 458
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 483, 311, 457, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 311, 457, 458 is 1.
Therefore, GCD of numbers 483, 311, 457, 458 is 1
Given Input Data is 483, 311, 457, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 311 is 311
Prime Factorization of 457 is 457
Prime Factorization of 458 is 2 x 229
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(483, 311) = 150213
GCD(483, 311) = ( 483 x 311 ) / 150213
GCD(483, 311) = 150213 / 150213
GCD(483, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 483, 311, 457, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 311, 457, 458?
GCD of 483, 311, 457, 458 is 1
2. Where do I get the detailed procedure to find GCD of 483, 311, 457, 458?
You can find a detailed procedure to find GCD of 483, 311, 457, 458 on our page.
3. How to find GCD of 483, 311, 457, 458 on a calculator?
You can find the GCD of 483, 311, 457, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.