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 388, 254, 712, 808 i.e. 2 largest integer that divides all the numbers equally.
GCD of 388, 254, 712, 808 is 2
GCD(388, 254, 712, 808) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 254, 712, 808 is 2
GCD(388, 254, 712, 808) = 2
Given Input numbers are 388, 254, 712, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 388, 254, 712, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 254, 712, 808 is 2.
Therefore, GCD of numbers 388, 254, 712, 808 is 2
Given Input Data is 388, 254, 712, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 254 is 2 x 127
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(388, 254) = 49276
GCD(388, 254) = ( 388 x 254 ) / 49276
GCD(388, 254) = 98552 / 49276
GCD(388, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
GCD(2, 712) = 1424 / 712
GCD(2, 712) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
GCD(2, 808) = 1616 / 808
GCD(2, 808) = 2
GCD of 388, 254, 712, 808 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 254, 712, 808?
GCD of 388, 254, 712, 808 is 2
2. Where do I get the detailed procedure to find GCD of 388, 254, 712, 808?
You can find a detailed procedure to find GCD of 388, 254, 712, 808 on our page.
3. How to find GCD of 388, 254, 712, 808 on a calculator?
You can find the GCD of 388, 254, 712, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.