GCD of 480, 484, 918, 966 Calculator

Given Input numbers are 480, 484, 918, 966

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

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 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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 480, 484, 918, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 484, 918, 966 is 2.

Therefore, GCD of numbers 480, 484, 918, 966 is 2

Given Input Data is 480, 484, 918, 966

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

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

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 966 is 2 x 3 x 7 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(480, 484) = 58080

GCD(480, 484) = ( 480 x 484 ) / 58080

GCD(480, 484) = 232320 / 58080

GCD(480, 484) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 918

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

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

GCD(4, 918) = 3672 / 1836

GCD(4, 918) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 480, 484, 918, 966 is 2

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1. What is the GCD of 480, 484, 918, 966?

GCD of 480, 484, 918, 966 is 2

2. Where do I get the detailed procedure to find GCD of 480, 484, 918, 966?

You can find a detailed procedure to find GCD of 480, 484, 918, 966 on our page.

3. How to find GCD of 480, 484, 918, 966 on a calculator?

You can find the GCD of 480, 484, 918, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.