GCD of 132, 274, 899, 332 Calculator

Given Input numbers are 132, 274, 899, 332

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 132, 274, 899, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 274, 899, 332 is 1.

Therefore, GCD of numbers 132, 274, 899, 332 is 1

Given Input Data is 132, 274, 899, 332

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 274 is 2 x 137

Prime Factorization of 899 is 29 x 31

Prime Factorization of 332 is 2 x 2 x 83

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, 274) = 18084

GCD(132, 274) = ( 132 x 274 ) / 18084

GCD(132, 274) = 36168 / 18084

GCD(132, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 132, 274, 899, 332 is 1

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1. What is the GCD of 132, 274, 899, 332?

GCD of 132, 274, 899, 332 is 1

2. Where do I get the detailed procedure to find GCD of 132, 274, 899, 332?

You can find a detailed procedure to find GCD of 132, 274, 899, 332 on our page.

3. How to find GCD of 132, 274, 899, 332 on a calculator?

You can find the GCD of 132, 274, 899, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.