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 223, 600, 484, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 223, 600, 484, 474 is 1
GCD(223, 600, 484, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 223, 600, 484, 474 is 1
GCD(223, 600, 484, 474) = 1
Given Input numbers are 223, 600, 484, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 223, 600, 484, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 600, 484, 474 is 1.
Therefore, GCD of numbers 223, 600, 484, 474 is 1
Given Input Data is 223, 600, 484, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 223 is 223
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 474 is 2 x 3 x 79
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(223, 600) = 133800
GCD(223, 600) = ( 223 x 600 ) / 133800
GCD(223, 600) = 133800 / 133800
GCD(223, 600) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 223, 600, 484, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 223, 600, 484, 474?
GCD of 223, 600, 484, 474 is 1
2. Where do I get the detailed procedure to find GCD of 223, 600, 484, 474?
You can find a detailed procedure to find GCD of 223, 600, 484, 474 on our page.
3. How to find GCD of 223, 600, 484, 474 on a calculator?
You can find the GCD of 223, 600, 484, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.