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, 892, 994, 392 i.e. 2 largest integer that divides all the numbers equally.
GCD of 388, 892, 994, 392 is 2
GCD(388, 892, 994, 392) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 892, 994, 392 is 2
GCD(388, 892, 994, 392) = 2
Given Input numbers are 388, 892, 994, 392
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 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 388, 892, 994, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 892, 994, 392 is 2.
Therefore, GCD of numbers 388, 892, 994, 392 is 2
Given Input Data is 388, 892, 994, 392
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 892 is 2 x 2 x 223
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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, 892) = 86524
GCD(388, 892) = ( 388 x 892 ) / 86524
GCD(388, 892) = 346096 / 86524
GCD(388, 892) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 994) = 1988
GCD(4, 994) = ( 4 x 994 ) / 1988
GCD(4, 994) = 3976 / 1988
GCD(4, 994) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
GCD(2, 392) = 784 / 392
GCD(2, 392) = 2
GCD of 388, 892, 994, 392 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 892, 994, 392?
GCD of 388, 892, 994, 392 is 2
2. Where do I get the detailed procedure to find GCD of 388, 892, 994, 392?
You can find a detailed procedure to find GCD of 388, 892, 994, 392 on our page.
3. How to find GCD of 388, 892, 994, 392 on a calculator?
You can find the GCD of 388, 892, 994, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.