GCD of 755, 284, 132 Calculator

Given Input numbers are 755, 284, 132

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 755, 284, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 284, 132 is 1.

Therefore, GCD of numbers 755, 284, 132 is 1

Given Input Data is 755, 284, 132

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 284 is 2 x 2 x 71

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(755, 284) = 214420

GCD(755, 284) = ( 755 x 284 ) / 214420

GCD(755, 284) = 214420 / 214420

GCD(755, 284) = 1

Step2:

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 755, 284, 132 is 1

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1. What is the GCD of 755, 284, 132?

GCD of 755, 284, 132 is 1

2. Where do I get the detailed procedure to find GCD of 755, 284, 132?

You can find a detailed procedure to find GCD of 755, 284, 132 on our page.

3. How to find GCD of 755, 284, 132 on a calculator?

You can find the GCD of 755, 284, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.