GCD of 132, 175, 50, 297 Calculator

Given Input numbers are 132, 175, 50, 297

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 132, 175, 50, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 175, 50, 297 is 1.

Therefore, GCD of numbers 132, 175, 50, 297 is 1

Given Input Data is 132, 175, 50, 297

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 175 is 5 x 5 x 7

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 297 is 3 x 3 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(132, 175) = 23100

GCD(132, 175) = ( 132 x 175 ) / 23100

GCD(132, 175) = 23100 / 23100

GCD(132, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 132, 175, 50, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 529, 45, 275
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• GCD of 328, 327, 33, 803
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• GCD of 644, 630, 46, 510

1. What is the GCD of 132, 175, 50, 297?

GCD of 132, 175, 50, 297 is 1

2. Where do I get the detailed procedure to find GCD of 132, 175, 50, 297?

You can find a detailed procedure to find GCD of 132, 175, 50, 297 on our page.

3. How to find GCD of 132, 175, 50, 297 on a calculator?

You can find the GCD of 132, 175, 50, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.