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 75, 791, 428, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 791, 428, 353 is 1
GCD(75, 791, 428, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 791, 428, 353 is 1
GCD(75, 791, 428, 353) = 1
Given Input numbers are 75, 791, 428, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 75, 791, 428, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 791, 428, 353 is 1.
Therefore, GCD of numbers 75, 791, 428, 353 is 1
Given Input Data is 75, 791, 428, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 791 is 7 x 113
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 353 is 353
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(75, 791) = 59325
GCD(75, 791) = ( 75 x 791 ) / 59325
GCD(75, 791) = 59325 / 59325
GCD(75, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 75, 791, 428, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 791, 428, 353?
GCD of 75, 791, 428, 353 is 1
2. Where do I get the detailed procedure to find GCD of 75, 791, 428, 353?
You can find a detailed procedure to find GCD of 75, 791, 428, 353 on our page.
3. How to find GCD of 75, 791, 428, 353 on a calculator?
You can find the GCD of 75, 791, 428, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.