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, 948, 676, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 948, 676, 533 is 1
GCD(232, 948, 676, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 948, 676, 533 is 1
GCD(232, 948, 676, 533) = 1
Given Input numbers are 232, 948, 676, 533
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 232, 948, 676, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 948, 676, 533 is 1.
Therefore, GCD of numbers 232, 948, 676, 533 is 1
Given Input Data is 232, 948, 676, 533
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 948 is 2 x 2 x 3 x 79
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 533 is 13 x 41
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, 948) = 54984
GCD(232, 948) = ( 232 x 948 ) / 54984
GCD(232, 948) = 219936 / 54984
GCD(232, 948) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 676) = 676
GCD(4, 676) = ( 4 x 676 ) / 676
GCD(4, 676) = 2704 / 676
GCD(4, 676) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 533) = 2132
GCD(4, 533) = ( 4 x 533 ) / 2132
GCD(4, 533) = 2132 / 2132
GCD(4, 533) = 1
GCD of 232, 948, 676, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 948, 676, 533?
GCD of 232, 948, 676, 533 is 1
2. Where do I get the detailed procedure to find GCD of 232, 948, 676, 533?
You can find a detailed procedure to find GCD of 232, 948, 676, 533 on our page.
3. How to find GCD of 232, 948, 676, 533 on a calculator?
You can find the GCD of 232, 948, 676, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.