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, 602, 894, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 602, 894, 393 is 1
GCD(75, 602, 894, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 602, 894, 393 is 1
GCD(75, 602, 894, 393) = 1
Given Input numbers are 75, 602, 894, 393
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 75, 602, 894, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 602, 894, 393 is 1.
Therefore, GCD of numbers 75, 602, 894, 393 is 1
Given Input Data is 75, 602, 894, 393
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 602 is 2 x 7 x 43
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 393 is 3 x 131
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, 602) = 45150
GCD(75, 602) = ( 75 x 602 ) / 45150
GCD(75, 602) = 45150 / 45150
GCD(75, 602) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 75, 602, 894, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 602, 894, 393?
GCD of 75, 602, 894, 393 is 1
2. Where do I get the detailed procedure to find GCD of 75, 602, 894, 393?
You can find a detailed procedure to find GCD of 75, 602, 894, 393 on our page.
3. How to find GCD of 75, 602, 894, 393 on a calculator?
You can find the GCD of 75, 602, 894, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.