GCD of 492, 106, 928, 480 Calculator

Given Input numbers are 492, 106, 928, 480

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

Greatest Common Divisior

We found the divisors of 492, 106, 928, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 106, 928, 480 is 2.

Therefore, GCD of numbers 492, 106, 928, 480 is 2

Given Input Data is 492, 106, 928, 480

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 106 is 2 x 53

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(492, 106) = 26076

GCD(492, 106) = ( 492 x 106 ) / 26076

GCD(492, 106) = 52152 / 26076

GCD(492, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 492, 106, 928, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 815, 710, 629
• GCD of 346, 865, 450, 487
• GCD of 569, 219, 712, 737
• GCD of 388, 827, 324, 196
• GCD of 985, 646, 854, 549

1. What is the GCD of 492, 106, 928, 480?

GCD of 492, 106, 928, 480 is 2

2. Where do I get the detailed procedure to find GCD of 492, 106, 928, 480?

You can find a detailed procedure to find GCD of 492, 106, 928, 480 on our page.

3. How to find GCD of 492, 106, 928, 480 on a calculator?

You can find the GCD of 492, 106, 928, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.