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 13, 348, 331, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 348, 331, 532 is 1
GCD(13, 348, 331, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 348, 331, 532 is 1
GCD(13, 348, 331, 532) = 1
Given Input numbers are 13, 348, 331, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 13, 348, 331, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 348, 331, 532 is 1.
Therefore, GCD of numbers 13, 348, 331, 532 is 1
Given Input Data is 13, 348, 331, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 331 is 331
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(13, 348) = 4524
GCD(13, 348) = ( 13 x 348 ) / 4524
GCD(13, 348) = 4524 / 4524
GCD(13, 348) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 13, 348, 331, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 348, 331, 532?
GCD of 13, 348, 331, 532 is 1
2. Where do I get the detailed procedure to find GCD of 13, 348, 331, 532?
You can find a detailed procedure to find GCD of 13, 348, 331, 532 on our page.
3. How to find GCD of 13, 348, 331, 532 on a calculator?
You can find the GCD of 13, 348, 331, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.