GCD of 320, 735, 76, 479 Calculator

Given Input numbers are 320, 735, 76, 479

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Greatest Common Divisior

We found the divisors of 320, 735, 76, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 735, 76, 479 is 1.

Therefore, GCD of numbers 320, 735, 76, 479 is 1

Given Input Data is 320, 735, 76, 479

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 479 is 479

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(320, 735) = 47040

GCD(320, 735) = ( 320 x 735 ) / 47040

GCD(320, 735) = 235200 / 47040

GCD(320, 735) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 76

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

LCM(5, 76) = 380

GCD(5, 76) = ( 5 x 76 ) / 380

GCD(5, 76) = 380 / 380

GCD(5, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 479

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

LCM(1, 479) = 479

GCD(1, 479) = ( 1 x 479 ) / 479

GCD(1, 479) = 479 / 479

GCD(1, 479) = 1

GCD of 320, 735, 76, 479 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 866, 82, 378
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1. What is the GCD of 320, 735, 76, 479?

GCD of 320, 735, 76, 479 is 1

2. Where do I get the detailed procedure to find GCD of 320, 735, 76, 479?

You can find a detailed procedure to find GCD of 320, 735, 76, 479 on our page.

3. How to find GCD of 320, 735, 76, 479 on a calculator?

You can find the GCD of 320, 735, 76, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.