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 49, 393, 255, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 393, 255, 725 is 1
GCD(49, 393, 255, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 393, 255, 725 is 1
GCD(49, 393, 255, 725) = 1
Given Input numbers are 49, 393, 255, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 49, 393, 255, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 393, 255, 725 is 1.
Therefore, GCD of numbers 49, 393, 255, 725 is 1
Given Input Data is 49, 393, 255, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 393 is 3 x 131
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 725 is 5 x 5 x 29
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(49, 393) = 19257
GCD(49, 393) = ( 49 x 393 ) / 19257
GCD(49, 393) = 19257 / 19257
GCD(49, 393) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 49, 393, 255, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 393, 255, 725?
GCD of 49, 393, 255, 725 is 1
2. Where do I get the detailed procedure to find GCD of 49, 393, 255, 725?
You can find a detailed procedure to find GCD of 49, 393, 255, 725 on our page.
3. How to find GCD of 49, 393, 255, 725 on a calculator?
You can find the GCD of 49, 393, 255, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.