GCD of 132, 502, 788, 583 Calculator

Given Input numbers are 132, 502, 788, 583

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 132, 502, 788, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 502, 788, 583 is 1.

Therefore, GCD of numbers 132, 502, 788, 583 is 1

Given Input Data is 132, 502, 788, 583

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 502 is 2 x 251

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 583 is 11 x 53

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(132, 502) = 33132

GCD(132, 502) = ( 132 x 502 ) / 33132

GCD(132, 502) = 66264 / 33132

GCD(132, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

GCD of 132, 502, 788, 583 is 1

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• GCD of 144, 607, 105, 382
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1. What is the GCD of 132, 502, 788, 583?

GCD of 132, 502, 788, 583 is 1

2. Where do I get the detailed procedure to find GCD of 132, 502, 788, 583?

You can find a detailed procedure to find GCD of 132, 502, 788, 583 on our page.

3. How to find GCD of 132, 502, 788, 583 on a calculator?

You can find the GCD of 132, 502, 788, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.