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 775, 425, 45, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 425, 45, 403 is 1
GCD(775, 425, 45, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 425, 45, 403 is 1
GCD(775, 425, 45, 403) = 1
Given Input numbers are 775, 425, 45, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 775, 425, 45, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 425, 45, 403 is 1.
Therefore, GCD of numbers 775, 425, 45, 403 is 1
Given Input Data is 775, 425, 45, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 403 is 13 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(775, 425) = 13175
GCD(775, 425) = ( 775 x 425 ) / 13175
GCD(775, 425) = 329375 / 13175
GCD(775, 425) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 45) = 225
GCD(25, 45) = ( 25 x 45 ) / 225
GCD(25, 45) = 1125 / 225
GCD(25, 45) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 403) = 2015
GCD(5, 403) = ( 5 x 403 ) / 2015
GCD(5, 403) = 2015 / 2015
GCD(5, 403) = 1
GCD of 775, 425, 45, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 425, 45, 403?
GCD of 775, 425, 45, 403 is 1
2. Where do I get the detailed procedure to find GCD of 775, 425, 45, 403?
You can find a detailed procedure to find GCD of 775, 425, 45, 403 on our page.
3. How to find GCD of 775, 425, 45, 403 on a calculator?
You can find the GCD of 775, 425, 45, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.