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 533, 176, 42, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 176, 42, 521 is 1
GCD(533, 176, 42, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 176, 42, 521 is 1
GCD(533, 176, 42, 521) = 1
Given Input numbers are 533, 176, 42, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 533, 176, 42, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 176, 42, 521 is 1.
Therefore, GCD of numbers 533, 176, 42, 521 is 1
Given Input Data is 533, 176, 42, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 521 is 521
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(533, 176) = 93808
GCD(533, 176) = ( 533 x 176 ) / 93808
GCD(533, 176) = 93808 / 93808
GCD(533, 176) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 533, 176, 42, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 176, 42, 521?
GCD of 533, 176, 42, 521 is 1
2. Where do I get the detailed procedure to find GCD of 533, 176, 42, 521?
You can find a detailed procedure to find GCD of 533, 176, 42, 521 on our page.
3. How to find GCD of 533, 176, 42, 521 on a calculator?
You can find the GCD of 533, 176, 42, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.