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 320, 157, 513, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 157, 513, 327 is 1
GCD(320, 157, 513, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 157, 513, 327 is 1
GCD(320, 157, 513, 327) = 1
Given Input numbers are 320, 157, 513, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 320, 157, 513, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 157, 513, 327 is 1.
Therefore, GCD of numbers 320, 157, 513, 327 is 1
Given Input Data is 320, 157, 513, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 157 is 157
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 327 is 3 x 109
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(320, 157) = 50240
GCD(320, 157) = ( 320 x 157 ) / 50240
GCD(320, 157) = 50240 / 50240
GCD(320, 157) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
GCD(1, 327) = 327 / 327
GCD(1, 327) = 1
GCD of 320, 157, 513, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 157, 513, 327?
GCD of 320, 157, 513, 327 is 1
2. Where do I get the detailed procedure to find GCD of 320, 157, 513, 327?
You can find a detailed procedure to find GCD of 320, 157, 513, 327 on our page.
3. How to find GCD of 320, 157, 513, 327 on a calculator?
You can find the GCD of 320, 157, 513, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.