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 232, 139, 54, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 139, 54, 523 is 1
GCD(232, 139, 54, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 139, 54, 523 is 1
GCD(232, 139, 54, 523) = 1
Given Input numbers are 232, 139, 54, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 232, 139, 54, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 139, 54, 523 is 1.
Therefore, GCD of numbers 232, 139, 54, 523 is 1
Given Input Data is 232, 139, 54, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 139 is 139
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 523 is 523
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(232, 139) = 32248
GCD(232, 139) = ( 232 x 139 ) / 32248
GCD(232, 139) = 32248 / 32248
GCD(232, 139) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 232, 139, 54, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 139, 54, 523?
GCD of 232, 139, 54, 523 is 1
2. Where do I get the detailed procedure to find GCD of 232, 139, 54, 523?
You can find a detailed procedure to find GCD of 232, 139, 54, 523 on our page.
3. How to find GCD of 232, 139, 54, 523 on a calculator?
You can find the GCD of 232, 139, 54, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.