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 283, 307, 25, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 283, 307, 25, 337 is 1
GCD(283, 307, 25, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 283, 307, 25, 337 is 1
GCD(283, 307, 25, 337) = 1
Given Input numbers are 283, 307, 25, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 283, 307, 25, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 307, 25, 337 is 1.
Therefore, GCD of numbers 283, 307, 25, 337 is 1
Given Input Data is 283, 307, 25, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 283 is 283
Prime Factorization of 307 is 307
Prime Factorization of 25 is 5 x 5
Prime Factorization of 337 is 337
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(283, 307) = 86881
GCD(283, 307) = ( 283 x 307 ) / 86881
GCD(283, 307) = 86881 / 86881
GCD(283, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 283, 307, 25, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 283, 307, 25, 337?
GCD of 283, 307, 25, 337 is 1
2. Where do I get the detailed procedure to find GCD of 283, 307, 25, 337?
You can find a detailed procedure to find GCD of 283, 307, 25, 337 on our page.
3. How to find GCD of 283, 307, 25, 337 on a calculator?
You can find the GCD of 283, 307, 25, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.