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 224, 933, 729, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 933, 729, 450 is 1
GCD(224, 933, 729, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 933, 729, 450 is 1
GCD(224, 933, 729, 450) = 1
Given Input numbers are 224, 933, 729, 450
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Greatest Common Divisior
We found the divisors of 224, 933, 729, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 933, 729, 450 is 1.
Therefore, GCD of numbers 224, 933, 729, 450 is 1
Given Input Data is 224, 933, 729, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 933 is 3 x 311
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
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(224, 933) = 208992
GCD(224, 933) = ( 224 x 933 ) / 208992
GCD(224, 933) = 208992 / 208992
GCD(224, 933) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
GCD of 224, 933, 729, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 933, 729, 450?
GCD of 224, 933, 729, 450 is 1
2. Where do I get the detailed procedure to find GCD of 224, 933, 729, 450?
You can find a detailed procedure to find GCD of 224, 933, 729, 450 on our page.
3. How to find GCD of 224, 933, 729, 450 on a calculator?
You can find the GCD of 224, 933, 729, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.