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 382, 889, 30, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 889, 30, 260 is 1
GCD(382, 889, 30, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 889, 30, 260 is 1
GCD(382, 889, 30, 260) = 1
Given Input numbers are 382, 889, 30, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 382, 889, 30, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 889, 30, 260 is 1.
Therefore, GCD of numbers 382, 889, 30, 260 is 1
Given Input Data is 382, 889, 30, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 889 is 7 x 127
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 260 is 2 x 2 x 5 x 13
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(382, 889) = 339598
GCD(382, 889) = ( 382 x 889 ) / 339598
GCD(382, 889) = 339598 / 339598
GCD(382, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 382, 889, 30, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 889, 30, 260?
GCD of 382, 889, 30, 260 is 1
2. Where do I get the detailed procedure to find GCD of 382, 889, 30, 260?
You can find a detailed procedure to find GCD of 382, 889, 30, 260 on our page.
3. How to find GCD of 382, 889, 30, 260 on a calculator?
You can find the GCD of 382, 889, 30, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.