GCD of 414, 474, 81, 144 Calculator

Given Input numbers are 414, 474, 81, 144

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

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 414, 474, 81, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 474, 81, 144 is 3.

Therefore, GCD of numbers 414, 474, 81, 144 is 3

Given Input Data is 414, 474, 81, 144

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

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(414, 474) = 32706

GCD(414, 474) = ( 414 x 474 ) / 32706

GCD(414, 474) = 196236 / 32706

GCD(414, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 414, 474, 81, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 667, 81, 628
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• GCD of 365, 468, 37, 521
• GCD of 442, 964, 39, 400

1. What is the GCD of 414, 474, 81, 144?

GCD of 414, 474, 81, 144 is 3

2. Where do I get the detailed procedure to find GCD of 414, 474, 81, 144?

You can find a detailed procedure to find GCD of 414, 474, 81, 144 on our page.

3. How to find GCD of 414, 474, 81, 144 on a calculator?

You can find the GCD of 414, 474, 81, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.