GCD of 510, 932, 381 Calculator

Given Input numbers are 510, 932, 381

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 510, 932, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 932, 381 is 1.

Therefore, GCD of numbers 510, 932, 381 is 1

Given Input Data is 510, 932, 381

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 381 is 3 x 127

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(510, 932) = 237660

GCD(510, 932) = ( 510 x 932 ) / 237660

GCD(510, 932) = 475320 / 237660

GCD(510, 932) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 510, 932, 381 is 1

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1. What is the GCD of 510, 932, 381?

GCD of 510, 932, 381 is 1

2. Where do I get the detailed procedure to find GCD of 510, 932, 381?

You can find a detailed procedure to find GCD of 510, 932, 381 on our page.

3. How to find GCD of 510, 932, 381 on a calculator?

You can find the GCD of 510, 932, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.