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, 824, 533, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 824, 533, 687 is 1
GCD(232, 824, 533, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 824, 533, 687 is 1
GCD(232, 824, 533, 687) = 1
Given Input numbers are 232, 824, 533, 687
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 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 232, 824, 533, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 824, 533, 687 is 1.
Therefore, GCD of numbers 232, 824, 533, 687 is 1
Given Input Data is 232, 824, 533, 687
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 824 is 2 x 2 x 2 x 103
Prime Factorization of 533 is 13 x 41
Prime Factorization of 687 is 3 x 229
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, 824) = 23896
GCD(232, 824) = ( 232 x 824 ) / 23896
GCD(232, 824) = 191168 / 23896
GCD(232, 824) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 533) = 4264
GCD(8, 533) = ( 8 x 533 ) / 4264
GCD(8, 533) = 4264 / 4264
GCD(8, 533) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 232, 824, 533, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 824, 533, 687?
GCD of 232, 824, 533, 687 is 1
2. Where do I get the detailed procedure to find GCD of 232, 824, 533, 687?
You can find a detailed procedure to find GCD of 232, 824, 533, 687 on our page.
3. How to find GCD of 232, 824, 533, 687 on a calculator?
You can find the GCD of 232, 824, 533, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.