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 130, 843, 540, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 843, 540, 325 is 1
GCD(130, 843, 540, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 843, 540, 325 is 1
GCD(130, 843, 540, 325) = 1
Given Input numbers are 130, 843, 540, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 130, 843, 540, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 843, 540, 325 is 1.
Therefore, GCD of numbers 130, 843, 540, 325 is 1
Given Input Data is 130, 843, 540, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 843 is 3 x 281
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 325 is 5 x 5 x 13
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(130, 843) = 109590
GCD(130, 843) = ( 130 x 843 ) / 109590
GCD(130, 843) = 109590 / 109590
GCD(130, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
GCD of 130, 843, 540, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 843, 540, 325?
GCD of 130, 843, 540, 325 is 1
2. Where do I get the detailed procedure to find GCD of 130, 843, 540, 325?
You can find a detailed procedure to find GCD of 130, 843, 540, 325 on our page.
3. How to find GCD of 130, 843, 540, 325 on a calculator?
You can find the GCD of 130, 843, 540, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.