GCD of 531, 453, 480, 993 Calculator

Given Input numbers are 531, 453, 480, 993

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 531, 453, 480, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 453, 480, 993 is 3.

Therefore, GCD of numbers 531, 453, 480, 993 is 3

Given Input Data is 531, 453, 480, 993

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 453 is 3 x 151

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 993 is 3 x 331

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 453) = 80181

GCD(531, 453) = ( 531 x 453 ) / 80181

GCD(531, 453) = 240543 / 80181

GCD(531, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 480

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

GCD(3, 480) = 1440 / 480

GCD(3, 480) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

GCD of 531, 453, 480, 993 is 3

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1. What is the GCD of 531, 453, 480, 993?

GCD of 531, 453, 480, 993 is 3

2. Where do I get the detailed procedure to find GCD of 531, 453, 480, 993?

You can find a detailed procedure to find GCD of 531, 453, 480, 993 on our page.

3. How to find GCD of 531, 453, 480, 993 on a calculator?

You can find the GCD of 531, 453, 480, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.