GCD of 28, 546, 984, 466 Calculator

Given Input numbers are 28, 546, 984, 466

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 28, 546, 984, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 546, 984, 466 is 2.

Therefore, GCD of numbers 28, 546, 984, 466 is 2

Given Input Data is 28, 546, 984, 466

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 466 is 2 x 233

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(28, 546) = 1092

GCD(28, 546) = ( 28 x 546 ) / 1092

GCD(28, 546) = 15288 / 1092

GCD(28, 546) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 984

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

LCM(14, 984) = 6888

GCD(14, 984) = ( 14 x 984 ) / 6888

GCD(14, 984) = 13776 / 6888

GCD(14, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 28, 546, 984, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 330, 356, 260
• GCD of 50, 383, 935, 905
• GCD of 85, 455, 443, 936
• GCD of 90, 823, 796, 847
• GCD of 81, 815, 351, 486

1. What is the GCD of 28, 546, 984, 466?

GCD of 28, 546, 984, 466 is 2

2. Where do I get the detailed procedure to find GCD of 28, 546, 984, 466?

You can find a detailed procedure to find GCD of 28, 546, 984, 466 on our page.

3. How to find GCD of 28, 546, 984, 466 on a calculator?

You can find the GCD of 28, 546, 984, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.