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 385, 214, 912, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 214, 912, 496 is 1
GCD(385, 214, 912, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 214, 912, 496 is 1
GCD(385, 214, 912, 496) = 1
Given Input numbers are 385, 214, 912, 496
To find the GCD of numbers using factoring list out all the divisors of each number
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 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 385, 214, 912, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 214, 912, 496 is 1.
Therefore, GCD of numbers 385, 214, 912, 496 is 1
Given Input Data is 385, 214, 912, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 214 is 2 x 107
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(385, 214) = 82390
GCD(385, 214) = ( 385 x 214 ) / 82390
GCD(385, 214) = 82390 / 82390
GCD(385, 214) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 385, 214, 912, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 214, 912, 496?
GCD of 385, 214, 912, 496 is 1
2. Where do I get the detailed procedure to find GCD of 385, 214, 912, 496?
You can find a detailed procedure to find GCD of 385, 214, 912, 496 on our page.
3. How to find GCD of 385, 214, 912, 496 on a calculator?
You can find the GCD of 385, 214, 912, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.