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, 380, 341, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 380, 341, 798 is 1
GCD(854, 380, 341, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 380, 341, 798 is 1
GCD(854, 380, 341, 798) = 1
Given Input numbers are 854, 380, 341, 798
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 854, 380, 341, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 380, 341, 798 is 1.
Therefore, GCD of numbers 854, 380, 341, 798 is 1
Given Input Data is 854, 380, 341, 798
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 380 is 2 x 2 x 5 x 19
Prime Factorization of 341 is 11 x 31
Prime Factorization of 798 is 2 x 3 x 7 x 19
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, 380) = 162260
GCD(854, 380) = ( 854 x 380 ) / 162260
GCD(854, 380) = 324520 / 162260
GCD(854, 380) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
GCD(2, 341) = 682 / 682
GCD(2, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 854, 380, 341, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 380, 341, 798?
GCD of 854, 380, 341, 798 is 1
2. Where do I get the detailed procedure to find GCD of 854, 380, 341, 798?
You can find a detailed procedure to find GCD of 854, 380, 341, 798 on our page.
3. How to find GCD of 854, 380, 341, 798 on a calculator?
You can find the GCD of 854, 380, 341, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.