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, 652, 30, 346 i.e. 2 largest integer that divides all the numbers equally.
GCD of 788, 652, 30, 346 is 2
GCD(788, 652, 30, 346) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 652, 30, 346 is 2
GCD(788, 652, 30, 346) = 2
Given Input numbers are 788, 652, 30, 346
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 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 788, 652, 30, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 652, 30, 346 is 2.
Therefore, GCD of numbers 788, 652, 30, 346 is 2
Given Input Data is 788, 652, 30, 346
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 652 is 2 x 2 x 163
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 346 is 2 x 173
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 652) = 128444
GCD(788, 652) = ( 788 x 652 ) / 128444
GCD(788, 652) = 513776 / 128444
GCD(788, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 30) = 60
GCD(4, 30) = ( 4 x 30 ) / 60
GCD(4, 30) = 120 / 60
GCD(4, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 346) = 346
GCD(2, 346) = ( 2 x 346 ) / 346
GCD(2, 346) = 692 / 346
GCD(2, 346) = 2
GCD of 788, 652, 30, 346 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 652, 30, 346?
GCD of 788, 652, 30, 346 is 2
2. Where do I get the detailed procedure to find GCD of 788, 652, 30, 346?
You can find a detailed procedure to find GCD of 788, 652, 30, 346 on our page.
3. How to find GCD of 788, 652, 30, 346 on a calculator?
You can find the GCD of 788, 652, 30, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.