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, 740, 281, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 740, 281, 884 is 1
GCD(13, 740, 281, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 740, 281, 884 is 1
GCD(13, 740, 281, 884) = 1
Given Input numbers are 13, 740, 281, 884
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 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 13, 740, 281, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 740, 281, 884 is 1.
Therefore, GCD of numbers 13, 740, 281, 884 is 1
Given Input Data is 13, 740, 281, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 281 is 281
Prime Factorization of 884 is 2 x 2 x 13 x 17
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, 740) = 9620
GCD(13, 740) = ( 13 x 740 ) / 9620
GCD(13, 740) = 9620 / 9620
GCD(13, 740) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 281) = 281
GCD(1, 281) = ( 1 x 281 ) / 281
GCD(1, 281) = 281 / 281
GCD(1, 281) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 13, 740, 281, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 740, 281, 884?
GCD of 13, 740, 281, 884 is 1
2. Where do I get the detailed procedure to find GCD of 13, 740, 281, 884?
You can find a detailed procedure to find GCD of 13, 740, 281, 884 on our page.
3. How to find GCD of 13, 740, 281, 884 on a calculator?
You can find the GCD of 13, 740, 281, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.