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 13, 964, 140, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 964, 140, 518 is 1
GCD(13, 964, 140, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 964, 140, 518 is 1
GCD(13, 964, 140, 518) = 1
Given Input numbers are 13, 964, 140, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 13, 964, 140, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 964, 140, 518 is 1.
Therefore, GCD of numbers 13, 964, 140, 518 is 1
Given Input Data is 13, 964, 140, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 518 is 2 x 7 x 37
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(13, 964) = 12532
GCD(13, 964) = ( 13 x 964 ) / 12532
GCD(13, 964) = 12532 / 12532
GCD(13, 964) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 13, 964, 140, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 964, 140, 518?
GCD of 13, 964, 140, 518 is 1
2. Where do I get the detailed procedure to find GCD of 13, 964, 140, 518?
You can find a detailed procedure to find GCD of 13, 964, 140, 518 on our page.
3. How to find GCD of 13, 964, 140, 518 on a calculator?
You can find the GCD of 13, 964, 140, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.