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 174, 804, 200, 872 i.e. 2 largest integer that divides all the numbers equally.
GCD of 174, 804, 200, 872 is 2
GCD(174, 804, 200, 872) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 804, 200, 872 is 2
GCD(174, 804, 200, 872) = 2
Given Input numbers are 174, 804, 200, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 174, 804, 200, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 804, 200, 872 is 2.
Therefore, GCD of numbers 174, 804, 200, 872 is 2
Given Input Data is 174, 804, 200, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 872 is 2 x 2 x 2 x 109
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(174, 804) = 23316
GCD(174, 804) = ( 174 x 804 ) / 23316
GCD(174, 804) = 139896 / 23316
GCD(174, 804) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 200) = 600
GCD(6, 200) = ( 6 x 200 ) / 600
GCD(6, 200) = 1200 / 600
GCD(6, 200) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
GCD(2, 872) = 1744 / 872
GCD(2, 872) = 2
GCD of 174, 804, 200, 872 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 804, 200, 872?
GCD of 174, 804, 200, 872 is 2
2. Where do I get the detailed procedure to find GCD of 174, 804, 200, 872?
You can find a detailed procedure to find GCD of 174, 804, 200, 872 on our page.
3. How to find GCD of 174, 804, 200, 872 on a calculator?
You can find the GCD of 174, 804, 200, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.