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 159, 502, 17, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 502, 17, 224 is 1
GCD(159, 502, 17, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 502, 17, 224 is 1
GCD(159, 502, 17, 224) = 1
Given Input numbers are 159, 502, 17, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
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 159, 502, 17, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 502, 17, 224 is 1.
Therefore, GCD of numbers 159, 502, 17, 224 is 1
Given Input Data is 159, 502, 17, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 502 is 2 x 251
Prime Factorization of 17 is 17
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(159, 502) = 79818
GCD(159, 502) = ( 159 x 502 ) / 79818
GCD(159, 502) = 79818 / 79818
GCD(159, 502) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 159, 502, 17, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 502, 17, 224?
GCD of 159, 502, 17, 224 is 1
2. Where do I get the detailed procedure to find GCD of 159, 502, 17, 224?
You can find a detailed procedure to find GCD of 159, 502, 17, 224 on our page.
3. How to find GCD of 159, 502, 17, 224 on a calculator?
You can find the GCD of 159, 502, 17, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.