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 360, 892, 224 i.e. 4 largest integer that divides all the numbers equally.
GCD of 360, 892, 224 is 4
GCD(360, 892, 224) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 892, 224 is 4
GCD(360, 892, 224) = 4
Given Input numbers are 360, 892, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
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
Greatest Common Divisior
We found the divisors of 360, 892, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 892, 224 is 4.
Therefore, GCD of numbers 360, 892, 224 is 4
Given Input Data is 360, 892, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(360, 892) = 80280
GCD(360, 892) = ( 360 x 892 ) / 80280
GCD(360, 892) = 321120 / 80280
GCD(360, 892) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 224) = 224
GCD(4, 224) = ( 4 x 224 ) / 224
GCD(4, 224) = 896 / 224
GCD(4, 224) = 4
GCD of 360, 892, 224 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 892, 224?
GCD of 360, 892, 224 is 4
2. Where do I get the detailed procedure to find GCD of 360, 892, 224?
You can find a detailed procedure to find GCD of 360, 892, 224 on our page.
3. How to find GCD of 360, 892, 224 on a calculator?
You can find the GCD of 360, 892, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.