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 851, 676, 115, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 851, 676, 115, 384 is 1
GCD(851, 676, 115, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 851, 676, 115, 384 is 1
GCD(851, 676, 115, 384) = 1
Given Input numbers are 851, 676, 115, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 851, 676, 115, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 676, 115, 384 is 1.
Therefore, GCD of numbers 851, 676, 115, 384 is 1
Given Input Data is 851, 676, 115, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 851 is 23 x 37
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 115 is 5 x 23
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(851, 676) = 575276
GCD(851, 676) = ( 851 x 676 ) / 575276
GCD(851, 676) = 575276 / 575276
GCD(851, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 851, 676, 115, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 851, 676, 115, 384?
GCD of 851, 676, 115, 384 is 1
2. Where do I get the detailed procedure to find GCD of 851, 676, 115, 384?
You can find a detailed procedure to find GCD of 851, 676, 115, 384 on our page.
3. How to find GCD of 851, 676, 115, 384 on a calculator?
You can find the GCD of 851, 676, 115, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.