GCD of 505, 432, 880, 132 Calculator

Given Input numbers are 505, 432, 880, 132

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

Greatest Common Divisior

We found the divisors of 505, 432, 880, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 432, 880, 132 is 1.

Therefore, GCD of numbers 505, 432, 880, 132 is 1

Given Input Data is 505, 432, 880, 132

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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

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(505, 432) = 218160

GCD(505, 432) = ( 505 x 432 ) / 218160

GCD(505, 432) = 218160 / 218160

GCD(505, 432) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 505, 432, 880, 132 is 1

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1. What is the GCD of 505, 432, 880, 132?

GCD of 505, 432, 880, 132 is 1

2. Where do I get the detailed procedure to find GCD of 505, 432, 880, 132?

You can find a detailed procedure to find GCD of 505, 432, 880, 132 on our page.

3. How to find GCD of 505, 432, 880, 132 on a calculator?

You can find the GCD of 505, 432, 880, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.