GCD of 480, 174, 66, 117 Calculator

Given Input numbers are 480, 174, 66, 117

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 480, 174, 66, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 174, 66, 117 is 3.

Therefore, GCD of numbers 480, 174, 66, 117 is 3

Given Input Data is 480, 174, 66, 117

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 174 is 2 x 3 x 29

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 117 is 3 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 174) = 13920

GCD(480, 174) = ( 480 x 174 ) / 13920

GCD(480, 174) = 83520 / 13920

GCD(480, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 66

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

LCM(6, 66) = 66

GCD(6, 66) = ( 6 x 66 ) / 66

GCD(6, 66) = 396 / 66

GCD(6, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 117

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

LCM(6, 117) = 234

GCD(6, 117) = ( 6 x 117 ) / 234

GCD(6, 117) = 702 / 234

GCD(6, 117) = 3

GCD of 480, 174, 66, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 583, 71, 548
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• GCD of 981, 909, 35, 850

1. What is the GCD of 480, 174, 66, 117?

GCD of 480, 174, 66, 117 is 3

2. Where do I get the detailed procedure to find GCD of 480, 174, 66, 117?

You can find a detailed procedure to find GCD of 480, 174, 66, 117 on our page.

3. How to find GCD of 480, 174, 66, 117 on a calculator?

You can find the GCD of 480, 174, 66, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.