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 313, 112, 425, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 112, 425, 297 is 1
GCD(313, 112, 425, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 112, 425, 297 is 1
GCD(313, 112, 425, 297) = 1
Given Input numbers are 313, 112, 425, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 313, 112, 425, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 112, 425, 297 is 1.
Therefore, GCD of numbers 313, 112, 425, 297 is 1
Given Input Data is 313, 112, 425, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(313, 112) = 35056
GCD(313, 112) = ( 313 x 112 ) / 35056
GCD(313, 112) = 35056 / 35056
GCD(313, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 313, 112, 425, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 112, 425, 297?
GCD of 313, 112, 425, 297 is 1
2. Where do I get the detailed procedure to find GCD of 313, 112, 425, 297?
You can find a detailed procedure to find GCD of 313, 112, 425, 297 on our page.
3. How to find GCD of 313, 112, 425, 297 on a calculator?
You can find the GCD of 313, 112, 425, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.