GCD of 132, 488, 896, 501 Calculator

Given Input numbers are 132, 488, 896, 501

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 132, 488, 896, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 488, 896, 501 is 1.

Therefore, GCD of numbers 132, 488, 896, 501 is 1

Given Input Data is 132, 488, 896, 501

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 501 is 3 x 167

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, 488) = 16104

GCD(132, 488) = ( 132 x 488 ) / 16104

GCD(132, 488) = 64416 / 16104

GCD(132, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 896

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

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

GCD(4, 896) = 3584 / 896

GCD(4, 896) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 501

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

LCM(4, 501) = 2004

GCD(4, 501) = ( 4 x 501 ) / 2004

GCD(4, 501) = 2004 / 2004

GCD(4, 501) = 1

GCD of 132, 488, 896, 501 is 1

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1. What is the GCD of 132, 488, 896, 501?

GCD of 132, 488, 896, 501 is 1

2. Where do I get the detailed procedure to find GCD of 132, 488, 896, 501?

You can find a detailed procedure to find GCD of 132, 488, 896, 501 on our page.

3. How to find GCD of 132, 488, 896, 501 on a calculator?

You can find the GCD of 132, 488, 896, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.