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 382, 907, 13, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 907, 13, 945 is 1
GCD(382, 907, 13, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 907, 13, 945 is 1
GCD(382, 907, 13, 945) = 1
Given Input numbers are 382, 907, 13, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 382, 907, 13, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 907, 13, 945 is 1.
Therefore, GCD of numbers 382, 907, 13, 945 is 1
Given Input Data is 382, 907, 13, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 907 is 907
Prime Factorization of 13 is 13
Prime Factorization of 945 is 3 x 3 x 3 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(382, 907) = 346474
GCD(382, 907) = ( 382 x 907 ) / 346474
GCD(382, 907) = 346474 / 346474
GCD(382, 907) = 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 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 382, 907, 13, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 907, 13, 945?
GCD of 382, 907, 13, 945 is 1
2. Where do I get the detailed procedure to find GCD of 382, 907, 13, 945?
You can find a detailed procedure to find GCD of 382, 907, 13, 945 on our page.
3. How to find GCD of 382, 907, 13, 945 on a calculator?
You can find the GCD of 382, 907, 13, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.