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 788, 361, 76, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 361, 76, 608 is 1
GCD(788, 361, 76, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 361, 76, 608 is 1
GCD(788, 361, 76, 608) = 1
Given Input numbers are 788, 361, 76, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 788, 361, 76, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 361, 76, 608 is 1.
Therefore, GCD of numbers 788, 361, 76, 608 is 1
Given Input Data is 788, 361, 76, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 361 is 19 x 19
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(788, 361) = 284468
GCD(788, 361) = ( 788 x 361 ) / 284468
GCD(788, 361) = 284468 / 284468
GCD(788, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 788, 361, 76, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 361, 76, 608?
GCD of 788, 361, 76, 608 is 1
2. Where do I get the detailed procedure to find GCD of 788, 361, 76, 608?
You can find a detailed procedure to find GCD of 788, 361, 76, 608 on our page.
3. How to find GCD of 788, 361, 76, 608 on a calculator?
You can find the GCD of 788, 361, 76, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.