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 531, 810, 180, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 810, 180, 278 is 1
GCD(531, 810, 180, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 810, 180, 278 is 1
GCD(531, 810, 180, 278) = 1
Given Input numbers are 531, 810, 180, 278
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 531, 810, 180, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 810, 180, 278 is 1.
Therefore, GCD of numbers 531, 810, 180, 278 is 1
Given Input Data is 531, 810, 180, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 278 is 2 x 139
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(531, 810) = 47790
GCD(531, 810) = ( 531 x 810 ) / 47790
GCD(531, 810) = 430110 / 47790
GCD(531, 810) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 180) = 180
GCD(9, 180) = ( 9 x 180 ) / 180
GCD(9, 180) = 1620 / 180
GCD(9, 180) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 278) = 2502
GCD(9, 278) = ( 9 x 278 ) / 2502
GCD(9, 278) = 2502 / 2502
GCD(9, 278) = 1
GCD of 531, 810, 180, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 810, 180, 278?
GCD of 531, 810, 180, 278 is 1
2. Where do I get the detailed procedure to find GCD of 531, 810, 180, 278?
You can find a detailed procedure to find GCD of 531, 810, 180, 278 on our page.
3. How to find GCD of 531, 810, 180, 278 on a calculator?
You can find the GCD of 531, 810, 180, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.