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 133, 381, 349, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 381, 349, 560 is 1
GCD(133, 381, 349, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 381, 349, 560 is 1
GCD(133, 381, 349, 560) = 1
Given Input numbers are 133, 381, 349, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 133, 381, 349, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 381, 349, 560 is 1.
Therefore, GCD of numbers 133, 381, 349, 560 is 1
Given Input Data is 133, 381, 349, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 381 is 3 x 127
Prime Factorization of 349 is 349
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(133, 381) = 50673
GCD(133, 381) = ( 133 x 381 ) / 50673
GCD(133, 381) = 50673 / 50673
GCD(133, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 133, 381, 349, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 381, 349, 560?
GCD of 133, 381, 349, 560 is 1
2. Where do I get the detailed procedure to find GCD of 133, 381, 349, 560?
You can find a detailed procedure to find GCD of 133, 381, 349, 560 on our page.
3. How to find GCD of 133, 381, 349, 560 on a calculator?
You can find the GCD of 133, 381, 349, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.