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 580, 380, 42, 866 i.e. 2 largest integer that divides all the numbers equally.
GCD of 580, 380, 42, 866 is 2
GCD(580, 380, 42, 866) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 380, 42, 866 is 2
GCD(580, 380, 42, 866) = 2
Given Input numbers are 580, 380, 42, 866
To find the GCD of numbers using factoring list out all the divisors of each number
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 580, 380, 42, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 380, 42, 866 is 2.
Therefore, GCD of numbers 580, 380, 42, 866 is 2
Given Input Data is 580, 380, 42, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 866 is 2 x 433
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(580, 380) = 11020
GCD(580, 380) = ( 580 x 380 ) / 11020
GCD(580, 380) = 220400 / 11020
GCD(580, 380) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 42) = 420
GCD(20, 42) = ( 20 x 42 ) / 420
GCD(20, 42) = 840 / 420
GCD(20, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 866) = 866
GCD(2, 866) = ( 2 x 866 ) / 866
GCD(2, 866) = 1732 / 866
GCD(2, 866) = 2
GCD of 580, 380, 42, 866 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 380, 42, 866?
GCD of 580, 380, 42, 866 is 2
2. Where do I get the detailed procedure to find GCD of 580, 380, 42, 866?
You can find a detailed procedure to find GCD of 580, 380, 42, 866 on our page.
3. How to find GCD of 580, 380, 42, 866 on a calculator?
You can find the GCD of 580, 380, 42, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.