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 428, 775, 31, 727 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 775, 31, 727 is 1
GCD(428, 775, 31, 727) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 775, 31, 727 is 1
GCD(428, 775, 31, 727) = 1
Given Input numbers are 428, 775, 31, 727
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Greatest Common Divisior
We found the divisors of 428, 775, 31, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 775, 31, 727 is 1.
Therefore, GCD of numbers 428, 775, 31, 727 is 1
Given Input Data is 428, 775, 31, 727
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 31 is 31
Prime Factorization of 727 is 727
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(428, 775) = 331700
GCD(428, 775) = ( 428 x 775 ) / 331700
GCD(428, 775) = 331700 / 331700
GCD(428, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 727
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 727) = 727
GCD(1, 727) = ( 1 x 727 ) / 727
GCD(1, 727) = 727 / 727
GCD(1, 727) = 1
GCD of 428, 775, 31, 727 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 775, 31, 727?
GCD of 428, 775, 31, 727 is 1
2. Where do I get the detailed procedure to find GCD of 428, 775, 31, 727?
You can find a detailed procedure to find GCD of 428, 775, 31, 727 on our page.
3. How to find GCD of 428, 775, 31, 727 on a calculator?
You can find the GCD of 428, 775, 31, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.