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, 380, 339, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 380, 339, 533 is 1
GCD(382, 380, 339, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 380, 339, 533 is 1
GCD(382, 380, 339, 533) = 1
Given Input numbers are 382, 380, 339, 533
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 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 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 382, 380, 339, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 380, 339, 533 is 1.
Therefore, GCD of numbers 382, 380, 339, 533 is 1
Given Input Data is 382, 380, 339, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 339 is 3 x 113
Prime Factorization of 533 is 13 x 41
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, 380) = 72580
GCD(382, 380) = ( 382 x 380 ) / 72580
GCD(382, 380) = 145160 / 72580
GCD(382, 380) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 339) = 678
GCD(2, 339) = ( 2 x 339 ) / 678
GCD(2, 339) = 678 / 678
GCD(2, 339) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 382, 380, 339, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 380, 339, 533?
GCD of 382, 380, 339, 533 is 1
2. Where do I get the detailed procedure to find GCD of 382, 380, 339, 533?
You can find a detailed procedure to find GCD of 382, 380, 339, 533 on our page.
3. How to find GCD of 382, 380, 339, 533 on a calculator?
You can find the GCD of 382, 380, 339, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.