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 221, 240, 314, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 240, 314, 513 is 1
GCD(221, 240, 314, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 240, 314, 513 is 1
GCD(221, 240, 314, 513) = 1
Given Input numbers are 221, 240, 314, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 221, 240, 314, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 240, 314, 513 is 1.
Therefore, GCD of numbers 221, 240, 314, 513 is 1
Given Input Data is 221, 240, 314, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 314 is 2 x 157
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(221, 240) = 53040
GCD(221, 240) = ( 221 x 240 ) / 53040
GCD(221, 240) = 53040 / 53040
GCD(221, 240) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 221, 240, 314, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 240, 314, 513?
GCD of 221, 240, 314, 513 is 1
2. Where do I get the detailed procedure to find GCD of 221, 240, 314, 513?
You can find a detailed procedure to find GCD of 221, 240, 314, 513 on our page.
3. How to find GCD of 221, 240, 314, 513 on a calculator?
You can find the GCD of 221, 240, 314, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.