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, 309, 15, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 309, 15, 560 is 1
GCD(224, 309, 15, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 309, 15, 560 is 1
GCD(224, 309, 15, 560) = 1
Given Input numbers are 224, 309, 15, 560
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 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 224, 309, 15, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 309, 15, 560 is 1.
Therefore, GCD of numbers 224, 309, 15, 560 is 1
Given Input Data is 224, 309, 15, 560
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 309 is 3 x 103
Prime Factorization of 15 is 3 x 5
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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, 309) = 69216
GCD(224, 309) = ( 224 x 309 ) / 69216
GCD(224, 309) = 69216 / 69216
GCD(224, 309) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 224, 309, 15, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 309, 15, 560?
GCD of 224, 309, 15, 560 is 1
2. Where do I get the detailed procedure to find GCD of 224, 309, 15, 560?
You can find a detailed procedure to find GCD of 224, 309, 15, 560 on our page.
3. How to find GCD of 224, 309, 15, 560 on a calculator?
You can find the GCD of 224, 309, 15, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.