GCD of 470, 309, 893, 480 Calculator

Given Input numbers are 470, 309, 893, 480

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

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 470, 309, 893, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 309, 893, 480 is 1.

Therefore, GCD of numbers 470, 309, 893, 480 is 1

Given Input Data is 470, 309, 893, 480

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 309 is 3 x 103

Prime Factorization of 893 is 19 x 47

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

The above numbers do not have any common prime factor. So GCD is 1

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(470, 309) = 145230

GCD(470, 309) = ( 470 x 309 ) / 145230

GCD(470, 309) = 145230 / 145230

GCD(470, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 470, 309, 893, 480 is 1

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1. What is the GCD of 470, 309, 893, 480?

GCD of 470, 309, 893, 480 is 1

2. Where do I get the detailed procedure to find GCD of 470, 309, 893, 480?

You can find a detailed procedure to find GCD of 470, 309, 893, 480 on our page.

3. How to find GCD of 470, 309, 893, 480 on a calculator?

You can find the GCD of 470, 309, 893, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.