GCD of 387, 414, 99, 495 Calculator

Given Input numbers are 387, 414, 99, 495

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 387, 414, 99, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 414, 99, 495 is 9.

Therefore, GCD of numbers 387, 414, 99, 495 is 9

Given Input Data is 387, 414, 99, 495

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 99 is 3 x 3 x 11

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(387, 414) = 17802

GCD(387, 414) = ( 387 x 414 ) / 17802

GCD(387, 414) = 160218 / 17802

GCD(387, 414) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 99

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

LCM(9, 99) = 99

GCD(9, 99) = ( 9 x 99 ) / 99

GCD(9, 99) = 891 / 99

GCD(9, 99) = 9

Step3:

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 387, 414, 99, 495 is 9

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• GCD of 969, 696, 21, 490
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1. What is the GCD of 387, 414, 99, 495?

GCD of 387, 414, 99, 495 is 9

2. Where do I get the detailed procedure to find GCD of 387, 414, 99, 495?

You can find a detailed procedure to find GCD of 387, 414, 99, 495 on our page.

3. How to find GCD of 387, 414, 99, 495 on a calculator?

You can find the GCD of 387, 414, 99, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.