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 486, 559, 498, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 559, 498, 271 is 1
GCD(486, 559, 498, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 559, 498, 271 is 1
GCD(486, 559, 498, 271) = 1
Given Input numbers are 486, 559, 498, 271
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 486, 559, 498, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 559, 498, 271 is 1.
Therefore, GCD of numbers 486, 559, 498, 271 is 1
Given Input Data is 486, 559, 498, 271
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 559 is 13 x 43
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 271 is 271
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(486, 559) = 271674
GCD(486, 559) = ( 486 x 559 ) / 271674
GCD(486, 559) = 271674 / 271674
GCD(486, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 486, 559, 498, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 559, 498, 271?
GCD of 486, 559, 498, 271 is 1
2. Where do I get the detailed procedure to find GCD of 486, 559, 498, 271?
You can find a detailed procedure to find GCD of 486, 559, 498, 271 on our page.
3. How to find GCD of 486, 559, 498, 271 on a calculator?
You can find the GCD of 486, 559, 498, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.