GCD of 396, 153, 495 Calculator

Given Input numbers are 396, 153, 495

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

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

Greatest Common Divisior

We found the divisors of 396, 153, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 153, 495 is 9.

Therefore, GCD of numbers 396, 153, 495 is 9

Given Input Data is 396, 153, 495

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 153 is 3 x 3 x 17

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(396, 153) = 6732

GCD(396, 153) = ( 396 x 153 ) / 6732

GCD(396, 153) = 60588 / 6732

GCD(396, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 495

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

LCM(9, 495) = 495

GCD(9, 495) = ( 9 x 495 ) / 495

GCD(9, 495) = 4455 / 495

GCD(9, 495) = 9

GCD of 396, 153, 495 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 712, 461
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1. What is the GCD of 396, 153, 495?

GCD of 396, 153, 495 is 9

2. Where do I get the detailed procedure to find GCD of 396, 153, 495?

You can find a detailed procedure to find GCD of 396, 153, 495 on our page.

3. How to find GCD of 396, 153, 495 on a calculator?

You can find the GCD of 396, 153, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.