GCD of 297, 495, 600, 132 Calculator

Given Input numbers are 297, 495, 600, 132

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

Divisors of 297

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

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 297, 495, 600, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 495, 600, 132 is 3.

Therefore, GCD of numbers 297, 495, 600, 132 is 3

Given Input Data is 297, 495, 600, 132

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(297, 495) = 1485

GCD(297, 495) = ( 297 x 495 ) / 1485

GCD(297, 495) = 147015 / 1485

GCD(297, 495) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 600

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

LCM(99, 600) = 19800

GCD(99, 600) = ( 99 x 600 ) / 19800

GCD(99, 600) = 59400 / 19800

GCD(99, 600) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

GCD of 297, 495, 600, 132 is 3

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1. What is the GCD of 297, 495, 600, 132?

GCD of 297, 495, 600, 132 is 3

2. Where do I get the detailed procedure to find GCD of 297, 495, 600, 132?

You can find a detailed procedure to find GCD of 297, 495, 600, 132 on our page.

3. How to find GCD of 297, 495, 600, 132 on a calculator?

You can find the GCD of 297, 495, 600, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.