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 874, 415, 812, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 415, 812, 384 is 1
GCD(874, 415, 812, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 415, 812, 384 is 1
GCD(874, 415, 812, 384) = 1
Given Input numbers are 874, 415, 812, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 874, 415, 812, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 415, 812, 384 is 1.
Therefore, GCD of numbers 874, 415, 812, 384 is 1
Given Input Data is 874, 415, 812, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 415 is 5 x 83
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(874, 415) = 362710
GCD(874, 415) = ( 874 x 415 ) / 362710
GCD(874, 415) = 362710 / 362710
GCD(874, 415) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 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 874, 415, 812, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 415, 812, 384?
GCD of 874, 415, 812, 384 is 1
2. Where do I get the detailed procedure to find GCD of 874, 415, 812, 384?
You can find a detailed procedure to find GCD of 874, 415, 812, 384 on our page.
3. How to find GCD of 874, 415, 812, 384 on a calculator?
You can find the GCD of 874, 415, 812, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.