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 234, 488, 513, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 488, 513, 448 is 1
GCD(234, 488, 513, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 488, 513, 448 is 1
GCD(234, 488, 513, 448) = 1
Given Input numbers are 234, 488, 513, 448
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
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 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Greatest Common Divisior
We found the divisors of 234, 488, 513, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 488, 513, 448 is 1.
Therefore, GCD of numbers 234, 488, 513, 448 is 1
Given Input Data is 234, 488, 513, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 448 is 2 x 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(234, 488) = 57096
GCD(234, 488) = ( 234 x 488 ) / 57096
GCD(234, 488) = 114192 / 57096
GCD(234, 488) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 234, 488, 513, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 488, 513, 448?
GCD of 234, 488, 513, 448 is 1
2. Where do I get the detailed procedure to find GCD of 234, 488, 513, 448?
You can find a detailed procedure to find GCD of 234, 488, 513, 448 on our page.
3. How to find GCD of 234, 488, 513, 448 on a calculator?
You can find the GCD of 234, 488, 513, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.