GCD of 512, 448, 538, 378 Calculator

Given Input numbers are 512, 448, 538, 378

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 512, 448, 538, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 448, 538, 378 is 2.

Therefore, GCD of numbers 512, 448, 538, 378 is 2

Given Input Data is 512, 448, 538, 378

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 538 is 2 x 269

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(512, 448) = 3584

GCD(512, 448) = ( 512 x 448 ) / 3584

GCD(512, 448) = 229376 / 3584

GCD(512, 448) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 538

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

LCM(64, 538) = 17216

GCD(64, 538) = ( 64 x 538 ) / 17216

GCD(64, 538) = 34432 / 17216

GCD(64, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

GCD of 512, 448, 538, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 979, 439, 270
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• GCD of 962, 792, 287, 360
• GCD of 279, 507, 687, 258

1. What is the GCD of 512, 448, 538, 378?

GCD of 512, 448, 538, 378 is 2

2. Where do I get the detailed procedure to find GCD of 512, 448, 538, 378?

You can find a detailed procedure to find GCD of 512, 448, 538, 378 on our page.

3. How to find GCD of 512, 448, 538, 378 on a calculator?

You can find the GCD of 512, 448, 538, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.