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, 304, 838, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 304, 838, 785 is 1
GCD(854, 304, 838, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 304, 838, 785 is 1
GCD(854, 304, 838, 785) = 1
Given Input numbers are 854, 304, 838, 785
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 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 854, 304, 838, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 304, 838, 785 is 1.
Therefore, GCD of numbers 854, 304, 838, 785 is 1
Given Input Data is 854, 304, 838, 785
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 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 838 is 2 x 419
Prime Factorization of 785 is 5 x 157
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, 304) = 129808
GCD(854, 304) = ( 854 x 304 ) / 129808
GCD(854, 304) = 259616 / 129808
GCD(854, 304) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
GCD(2, 838) = 1676 / 838
GCD(2, 838) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 785) = 1570
GCD(2, 785) = ( 2 x 785 ) / 1570
GCD(2, 785) = 1570 / 1570
GCD(2, 785) = 1
GCD of 854, 304, 838, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 304, 838, 785?
GCD of 854, 304, 838, 785 is 1
2. Where do I get the detailed procedure to find GCD of 854, 304, 838, 785?
You can find a detailed procedure to find GCD of 854, 304, 838, 785 on our page.
3. How to find GCD of 854, 304, 838, 785 on a calculator?
You can find the GCD of 854, 304, 838, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.