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 200, 174, 480, 232 i.e. 2 largest integer that divides all the numbers equally.
GCD of 200, 174, 480, 232 is 2
GCD(200, 174, 480, 232) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 174, 480, 232 is 2
GCD(200, 174, 480, 232) = 2
Given Input numbers are 200, 174, 480, 232
To find the GCD of numbers using factoring list out all the divisors of each number
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 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Greatest Common Divisior
We found the divisors of 200, 174, 480, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 174, 480, 232 is 2.
Therefore, GCD of numbers 200, 174, 480, 232 is 2
Given Input Data is 200, 174, 480, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 232 is 2 x 2 x 2 x 29
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(200, 174) = 17400
GCD(200, 174) = ( 200 x 174 ) / 17400
GCD(200, 174) = 34800 / 17400
GCD(200, 174) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
GCD(2, 480) = 960 / 480
GCD(2, 480) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
GCD(2, 232) = 464 / 232
GCD(2, 232) = 2
GCD of 200, 174, 480, 232 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 174, 480, 232?
GCD of 200, 174, 480, 232 is 2
2. Where do I get the detailed procedure to find GCD of 200, 174, 480, 232?
You can find a detailed procedure to find GCD of 200, 174, 480, 232 on our page.
3. How to find GCD of 200, 174, 480, 232 on a calculator?
You can find the GCD of 200, 174, 480, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.