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 713, 994, 15, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 994, 15, 561 is 1
GCD(713, 994, 15, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 994, 15, 561 is 1
GCD(713, 994, 15, 561) = 1
Given Input numbers are 713, 994, 15, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 713, 994, 15, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 994, 15, 561 is 1.
Therefore, GCD of numbers 713, 994, 15, 561 is 1
Given Input Data is 713, 994, 15, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 15 is 3 x 5
Prime Factorization of 561 is 3 x 11 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(713, 994) = 708722
GCD(713, 994) = ( 713 x 994 ) / 708722
GCD(713, 994) = 708722 / 708722
GCD(713, 994) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 713, 994, 15, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 994, 15, 561?
GCD of 713, 994, 15, 561 is 1
2. Where do I get the detailed procedure to find GCD of 713, 994, 15, 561?
You can find a detailed procedure to find GCD of 713, 994, 15, 561 on our page.
3. How to find GCD of 713, 994, 15, 561 on a calculator?
You can find the GCD of 713, 994, 15, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.