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 168, 381, 592, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 381, 592, 874 is 1
GCD(168, 381, 592, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 381, 592, 874 is 1
GCD(168, 381, 592, 874) = 1
Given Input numbers are 168, 381, 592, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 168, 381, 592, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 381, 592, 874 is 1.
Therefore, GCD of numbers 168, 381, 592, 874 is 1
Given Input Data is 168, 381, 592, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 381 is 3 x 127
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 874 is 2 x 19 x 23
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(168, 381) = 21336
GCD(168, 381) = ( 168 x 381 ) / 21336
GCD(168, 381) = 64008 / 21336
GCD(168, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 592) = 1776
GCD(3, 592) = ( 3 x 592 ) / 1776
GCD(3, 592) = 1776 / 1776
GCD(3, 592) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 168, 381, 592, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 381, 592, 874?
GCD of 168, 381, 592, 874 is 1
2. Where do I get the detailed procedure to find GCD of 168, 381, 592, 874?
You can find a detailed procedure to find GCD of 168, 381, 592, 874 on our page.
3. How to find GCD of 168, 381, 592, 874 on a calculator?
You can find the GCD of 168, 381, 592, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.