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 960, 189, 519, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 189, 519, 413 is 1
GCD(960, 189, 519, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 189, 519, 413 is 1
GCD(960, 189, 519, 413) = 1
Given Input numbers are 960, 189, 519, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 960, 189, 519, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 189, 519, 413 is 1.
Therefore, GCD of numbers 960, 189, 519, 413 is 1
Given Input Data is 960, 189, 519, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 519 is 3 x 173
Prime Factorization of 413 is 7 x 59
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(960, 189) = 60480
GCD(960, 189) = ( 960 x 189 ) / 60480
GCD(960, 189) = 181440 / 60480
GCD(960, 189) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 519) = 519
GCD(3, 519) = ( 3 x 519 ) / 519
GCD(3, 519) = 1557 / 519
GCD(3, 519) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 413) = 1239
GCD(3, 413) = ( 3 x 413 ) / 1239
GCD(3, 413) = 1239 / 1239
GCD(3, 413) = 1
GCD of 960, 189, 519, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 189, 519, 413?
GCD of 960, 189, 519, 413 is 1
2. Where do I get the detailed procedure to find GCD of 960, 189, 519, 413?
You can find a detailed procedure to find GCD of 960, 189, 519, 413 on our page.
3. How to find GCD of 960, 189, 519, 413 on a calculator?
You can find the GCD of 960, 189, 519, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.