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 531, 480, 667, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 480, 667, 933 is 1
GCD(531, 480, 667, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 480, 667, 933 is 1
GCD(531, 480, 667, 933) = 1
Given Input numbers are 531, 480, 667, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 531, 480, 667, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 480, 667, 933 is 1.
Therefore, GCD of numbers 531, 480, 667, 933 is 1
Given Input Data is 531, 480, 667, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 667 is 23 x 29
Prime Factorization of 933 is 3 x 311
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(531, 480) = 84960
GCD(531, 480) = ( 531 x 480 ) / 84960
GCD(531, 480) = 254880 / 84960
GCD(531, 480) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 667) = 2001
GCD(3, 667) = ( 3 x 667 ) / 2001
GCD(3, 667) = 2001 / 2001
GCD(3, 667) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
GCD of 531, 480, 667, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 480, 667, 933?
GCD of 531, 480, 667, 933 is 1
2. Where do I get the detailed procedure to find GCD of 531, 480, 667, 933?
You can find a detailed procedure to find GCD of 531, 480, 667, 933 on our page.
3. How to find GCD of 531, 480, 667, 933 on a calculator?
You can find the GCD of 531, 480, 667, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.