GCD of 207, 319, 313, 480 Calculator

Given Input numbers are 207, 319, 313, 480

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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 207, 319, 313, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 319, 313, 480 is 1.

Therefore, GCD of numbers 207, 319, 313, 480 is 1

Given Input Data is 207, 319, 313, 480

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 319 is 11 x 29

Prime Factorization of 313 is 313

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(207, 319) = 66033

GCD(207, 319) = ( 207 x 319 ) / 66033

GCD(207, 319) = 66033 / 66033

GCD(207, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 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 207, 319, 313, 480 is 1

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1. What is the GCD of 207, 319, 313, 480?

GCD of 207, 319, 313, 480 is 1

2. Where do I get the detailed procedure to find GCD of 207, 319, 313, 480?

You can find a detailed procedure to find GCD of 207, 319, 313, 480 on our page.

3. How to find GCD of 207, 319, 313, 480 on a calculator?

You can find the GCD of 207, 319, 313, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.