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 907, 510, 13, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 907, 510, 13, 992 is 1
GCD(907, 510, 13, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 907, 510, 13, 992 is 1
GCD(907, 510, 13, 992) = 1
Given Input numbers are 907, 510, 13, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Greatest Common Divisior
We found the divisors of 907, 510, 13, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 907, 510, 13, 992 is 1.
Therefore, GCD of numbers 907, 510, 13, 992 is 1
Given Input Data is 907, 510, 13, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 907 is 907
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 13 is 13
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
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(907, 510) = 462570
GCD(907, 510) = ( 907 x 510 ) / 462570
GCD(907, 510) = 462570 / 462570
GCD(907, 510) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
GCD(1, 992) = 992 / 992
GCD(1, 992) = 1
GCD of 907, 510, 13, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 907, 510, 13, 992?
GCD of 907, 510, 13, 992 is 1
2. Where do I get the detailed procedure to find GCD of 907, 510, 13, 992?
You can find a detailed procedure to find GCD of 907, 510, 13, 992 on our page.
3. How to find GCD of 907, 510, 13, 992 on a calculator?
You can find the GCD of 907, 510, 13, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.