GCD of 531, 360, 354, 768 Calculator

Given Input numbers are 531, 360, 354, 768

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 531, 360, 354, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 360, 354, 768 is 3.

Therefore, GCD of numbers 531, 360, 354, 768 is 3

Given Input Data is 531, 360, 354, 768

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 360) = 21240

GCD(531, 360) = ( 531 x 360 ) / 21240

GCD(531, 360) = 191160 / 21240

GCD(531, 360) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 354

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

LCM(9, 354) = 1062

GCD(9, 354) = ( 9 x 354 ) / 1062

GCD(9, 354) = 3186 / 1062

GCD(9, 354) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 768

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

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

GCD(3, 768) = 2304 / 768

GCD(3, 768) = 3

GCD of 531, 360, 354, 768 is 3

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1. What is the GCD of 531, 360, 354, 768?

GCD of 531, 360, 354, 768 is 3

2. Where do I get the detailed procedure to find GCD of 531, 360, 354, 768?

You can find a detailed procedure to find GCD of 531, 360, 354, 768 on our page.

3. How to find GCD of 531, 360, 354, 768 on a calculator?

You can find the GCD of 531, 360, 354, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.