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 512, 385, 99, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 512, 385, 99, 894 is 1
GCD(512, 385, 99, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 385, 99, 894 is 1
GCD(512, 385, 99, 894) = 1
Given Input numbers are 512, 385, 99, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 512, 385, 99, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 385, 99, 894 is 1.
Therefore, GCD of numbers 512, 385, 99, 894 is 1
Given Input Data is 512, 385, 99, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 894 is 2 x 3 x 149
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(512, 385) = 197120
GCD(512, 385) = ( 512 x 385 ) / 197120
GCD(512, 385) = 197120 / 197120
GCD(512, 385) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
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
GCD of 512, 385, 99, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 512, 385, 99, 894?
GCD of 512, 385, 99, 894 is 1
2. Where do I get the detailed procedure to find GCD of 512, 385, 99, 894?
You can find a detailed procedure to find GCD of 512, 385, 99, 894 on our page.
3. How to find GCD of 512, 385, 99, 894 on a calculator?
You can find the GCD of 512, 385, 99, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.