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 886, 780, 382, 180 i.e. 2 largest integer that divides all the numbers equally.
GCD of 886, 780, 382, 180 is 2
GCD(886, 780, 382, 180) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 886, 780, 382, 180 is 2
GCD(886, 780, 382, 180) = 2
Given Input numbers are 886, 780, 382, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 886, 780, 382, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 780, 382, 180 is 2.
Therefore, GCD of numbers 886, 780, 382, 180 is 2
Given Input Data is 886, 780, 382, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 886 is 2 x 443
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 382 is 2 x 191
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(886, 780) = 345540
GCD(886, 780) = ( 886 x 780 ) / 345540
GCD(886, 780) = 691080 / 345540
GCD(886, 780) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
GCD of 886, 780, 382, 180 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 886, 780, 382, 180?
GCD of 886, 780, 382, 180 is 2
2. Where do I get the detailed procedure to find GCD of 886, 780, 382, 180?
You can find a detailed procedure to find GCD of 886, 780, 382, 180 on our page.
3. How to find GCD of 886, 780, 382, 180 on a calculator?
You can find the GCD of 886, 780, 382, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.