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 842, 532, 580, 519 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 532, 580, 519 is 1
GCD(842, 532, 580, 519) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 532, 580, 519 is 1
GCD(842, 532, 580, 519) = 1
Given Input numbers are 842, 532, 580, 519
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Greatest Common Divisior
We found the divisors of 842, 532, 580, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 532, 580, 519 is 1.
Therefore, GCD of numbers 842, 532, 580, 519 is 1
Given Input Data is 842, 532, 580, 519
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 519 is 3 x 173
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(842, 532) = 223972
GCD(842, 532) = ( 842 x 532 ) / 223972
GCD(842, 532) = 447944 / 223972
GCD(842, 532) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
GCD(2, 580) = 1160 / 580
GCD(2, 580) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 519) = 1038
GCD(2, 519) = ( 2 x 519 ) / 1038
GCD(2, 519) = 1038 / 1038
GCD(2, 519) = 1
GCD of 842, 532, 580, 519 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 532, 580, 519?
GCD of 842, 532, 580, 519 is 1
2. Where do I get the detailed procedure to find GCD of 842, 532, 580, 519?
You can find a detailed procedure to find GCD of 842, 532, 580, 519 on our page.
3. How to find GCD of 842, 532, 580, 519 on a calculator?
You can find the GCD of 842, 532, 580, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.