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 231, 896, 438, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 896, 438, 130 is 1
GCD(231, 896, 438, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 896, 438, 130 is 1
GCD(231, 896, 438, 130) = 1
Given Input numbers are 231, 896, 438, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 231, 896, 438, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 896, 438, 130 is 1.
Therefore, GCD of numbers 231, 896, 438, 130 is 1
Given Input Data is 231, 896, 438, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 130 is 2 x 5 x 13
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(231, 896) = 29568
GCD(231, 896) = ( 231 x 896 ) / 29568
GCD(231, 896) = 206976 / 29568
GCD(231, 896) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 438) = 3066
GCD(7, 438) = ( 7 x 438 ) / 3066
GCD(7, 438) = 3066 / 3066
GCD(7, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 231, 896, 438, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 896, 438, 130?
GCD of 231, 896, 438, 130 is 1
2. Where do I get the detailed procedure to find GCD of 231, 896, 438, 130?
You can find a detailed procedure to find GCD of 231, 896, 438, 130 on our page.
3. How to find GCD of 231, 896, 438, 130 on a calculator?
You can find the GCD of 231, 896, 438, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.