GCD of 381, 462, 532, 932 Calculator

Given Input numbers are 381, 462, 532, 932

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 932

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

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 381, 462, 532, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 462, 532, 932 is 1.

Therefore, GCD of numbers 381, 462, 532, 932 is 1

Given Input Data is 381, 462, 532, 932

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 932 is 2 x 2 x 233

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(381, 462) = 58674

GCD(381, 462) = ( 381 x 462 ) / 58674

GCD(381, 462) = 176022 / 58674

GCD(381, 462) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 532

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

LCM(3, 532) = 1596

GCD(3, 532) = ( 3 x 532 ) / 1596

GCD(3, 532) = 1596 / 1596

GCD(3, 532) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

GCD of 381, 462, 532, 932 is 1

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1. What is the GCD of 381, 462, 532, 932?

GCD of 381, 462, 532, 932 is 1

2. Where do I get the detailed procedure to find GCD of 381, 462, 532, 932?

You can find a detailed procedure to find GCD of 381, 462, 532, 932 on our page.

3. How to find GCD of 381, 462, 532, 932 on a calculator?

You can find the GCD of 381, 462, 532, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.