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 862, 580, 363, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 862, 580, 363, 516 is 1
GCD(862, 580, 363, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 580, 363, 516 is 1
GCD(862, 580, 363, 516) = 1
Given Input numbers are 862, 580, 363, 516
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
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 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 862, 580, 363, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 580, 363, 516 is 1.
Therefore, GCD of numbers 862, 580, 363, 516 is 1
Given Input Data is 862, 580, 363, 516
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 516 is 2 x 2 x 3 x 43
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(862, 580) = 249980
GCD(862, 580) = ( 862 x 580 ) / 249980
GCD(862, 580) = 499960 / 249980
GCD(862, 580) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
GCD(2, 363) = 726 / 726
GCD(2, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 862, 580, 363, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 580, 363, 516?
GCD of 862, 580, 363, 516 is 1
2. Where do I get the detailed procedure to find GCD of 862, 580, 363, 516?
You can find a detailed procedure to find GCD of 862, 580, 363, 516 on our page.
3. How to find GCD of 862, 580, 363, 516 on a calculator?
You can find the GCD of 862, 580, 363, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.