GCD of 129, 930, 480, 720 Calculator

Given Input numbers are 129, 930, 480, 720

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 129, 930, 480, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 930, 480, 720 is 3.

Therefore, GCD of numbers 129, 930, 480, 720 is 3

Given Input Data is 129, 930, 480, 720

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 930 is 2 x 3 x 5 x 31

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(129, 930) = 39990

GCD(129, 930) = ( 129 x 930 ) / 39990

GCD(129, 930) = 119970 / 39990

GCD(129, 930) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 480

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

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

GCD(3, 480) = 1440 / 480

GCD(3, 480) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 720

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

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

GCD(3, 720) = 2160 / 720

GCD(3, 720) = 3

GCD of 129, 930, 480, 720 is 3

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1. What is the GCD of 129, 930, 480, 720?

GCD of 129, 930, 480, 720 is 3

2. Where do I get the detailed procedure to find GCD of 129, 930, 480, 720?

You can find a detailed procedure to find GCD of 129, 930, 480, 720 on our page.

3. How to find GCD of 129, 930, 480, 720 on a calculator?

You can find the GCD of 129, 930, 480, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.