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 96, 794, 855, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 794, 855, 348 is 1
GCD(96, 794, 855, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 794, 855, 348 is 1
GCD(96, 794, 855, 348) = 1
Given Input numbers are 96, 794, 855, 348
To find the GCD of numbers using factoring list out all the divisors of each number
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 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 96, 794, 855, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 794, 855, 348 is 1.
Therefore, GCD of numbers 96, 794, 855, 348 is 1
Given Input Data is 96, 794, 855, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 794 is 2 x 397
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 348 is 2 x 2 x 3 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(96, 794) = 38112
GCD(96, 794) = ( 96 x 794 ) / 38112
GCD(96, 794) = 76224 / 38112
GCD(96, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
GCD(2, 855) = 1710 / 1710
GCD(2, 855) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 96, 794, 855, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 794, 855, 348?
GCD of 96, 794, 855, 348 is 1
2. Where do I get the detailed procedure to find GCD of 96, 794, 855, 348?
You can find a detailed procedure to find GCD of 96, 794, 855, 348 on our page.
3. How to find GCD of 96, 794, 855, 348 on a calculator?
You can find the GCD of 96, 794, 855, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.