GCD of 484, 256, 946, 828 Calculator

Given Input numbers are 484, 256, 946, 828

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 484, 256, 946, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 256, 946, 828 is 2.

Therefore, GCD of numbers 484, 256, 946, 828 is 2

Given Input Data is 484, 256, 946, 828

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(484, 256) = 30976

GCD(484, 256) = ( 484 x 256 ) / 30976

GCD(484, 256) = 123904 / 30976

GCD(484, 256) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 946

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

LCM(4, 946) = 1892

GCD(4, 946) = ( 4 x 946 ) / 1892

GCD(4, 946) = 3784 / 1892

GCD(4, 946) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 484, 256, 946, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 718, 175, 425
• GCD of 391, 781, 994, 697
• GCD of 456, 278, 618, 392
• GCD of 580, 284, 731, 868
• GCD of 396, 599, 250, 279

1. What is the GCD of 484, 256, 946, 828?

GCD of 484, 256, 946, 828 is 2

2. Where do I get the detailed procedure to find GCD of 484, 256, 946, 828?

You can find a detailed procedure to find GCD of 484, 256, 946, 828 on our page.

3. How to find GCD of 484, 256, 946, 828 on a calculator?

You can find the GCD of 484, 256, 946, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.