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 854, 385, 96, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 385, 96, 203 is 1
GCD(854, 385, 96, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 385, 96, 203 is 1
GCD(854, 385, 96, 203) = 1
Given Input numbers are 854, 385, 96, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
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 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 854, 385, 96, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 385, 96, 203 is 1.
Therefore, GCD of numbers 854, 385, 96, 203 is 1
Given Input Data is 854, 385, 96, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 203 is 7 x 29
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(854, 385) = 46970
GCD(854, 385) = ( 854 x 385 ) / 46970
GCD(854, 385) = 328790 / 46970
GCD(854, 385) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 96) = 672
GCD(7, 96) = ( 7 x 96 ) / 672
GCD(7, 96) = 672 / 672
GCD(7, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 854, 385, 96, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 385, 96, 203?
GCD of 854, 385, 96, 203 is 1
2. Where do I get the detailed procedure to find GCD of 854, 385, 96, 203?
You can find a detailed procedure to find GCD of 854, 385, 96, 203 on our page.
3. How to find GCD of 854, 385, 96, 203 on a calculator?
You can find the GCD of 854, 385, 96, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.