GCD of 28, 480, 984, 102 Calculator

Given Input numbers are 28, 480, 984, 102

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 28, 480, 984, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 480, 984, 102 is 2.

Therefore, GCD of numbers 28, 480, 984, 102 is 2

Given Input Data is 28, 480, 984, 102

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 102 is 2 x 3 x 17

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, 480) = 3360

GCD(28, 480) = ( 28 x 480 ) / 3360

GCD(28, 480) = 13440 / 3360

GCD(28, 480) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 984

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

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

GCD(4, 984) = 3936 / 984

GCD(4, 984) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 102

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

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

GCD(4, 102) = 408 / 204

GCD(4, 102) = 2

GCD of 28, 480, 984, 102 is 2

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• GCD of 35, 836, 495, 566
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• GCD of 74, 682, 870, 834

1. What is the GCD of 28, 480, 984, 102?

GCD of 28, 480, 984, 102 is 2

2. Where do I get the detailed procedure to find GCD of 28, 480, 984, 102?

You can find a detailed procedure to find GCD of 28, 480, 984, 102 on our page.

3. How to find GCD of 28, 480, 984, 102 on a calculator?

You can find the GCD of 28, 480, 984, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.