GCD of 32, 382, 763, 509 Calculator

Given Input numbers are 32, 382, 763, 509

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 32, 382, 763, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 382, 763, 509 is 1.

Therefore, GCD of numbers 32, 382, 763, 509 is 1

Given Input Data is 32, 382, 763, 509

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 382 is 2 x 191

Prime Factorization of 763 is 7 x 109

Prime Factorization of 509 is 509

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(32, 382) = 6112

GCD(32, 382) = ( 32 x 382 ) / 6112

GCD(32, 382) = 12224 / 6112

GCD(32, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 32, 382, 763, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 913, 142, 778
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• GCD of 37, 291, 660, 712
• GCD of 86, 651, 722, 923
• GCD of 35, 686, 400, 167

1. What is the GCD of 32, 382, 763, 509?

GCD of 32, 382, 763, 509 is 1

2. Where do I get the detailed procedure to find GCD of 32, 382, 763, 509?

You can find a detailed procedure to find GCD of 32, 382, 763, 509 on our page.

3. How to find GCD of 32, 382, 763, 509 on a calculator?

You can find the GCD of 32, 382, 763, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.