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, 759, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 843, 759, 996 is 1
GCD(130, 843, 759, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 843, 759, 996 is 1
GCD(130, 843, 759, 996) = 1
Given Input numbers are 130, 843, 759, 996
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 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 130, 843, 759, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 843, 759, 996 is 1.
Therefore, GCD of numbers 130, 843, 759, 996 is 1
Given Input Data is 130, 843, 759, 996
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 759 is 3 x 11 x 23
Prime Factorization of 996 is 2 x 2 x 3 x 83
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 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 130, 843, 759, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 843, 759, 996?
GCD of 130, 843, 759, 996 is 1
2. Where do I get the detailed procedure to find GCD of 130, 843, 759, 996?
You can find a detailed procedure to find GCD of 130, 843, 759, 996 on our page.
3. How to find GCD of 130, 843, 759, 996 on a calculator?
You can find the GCD of 130, 843, 759, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.