GCD of 335, 914, 363, 584 Calculator

Given Input numbers are 335, 914, 363, 584

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

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 335, 914, 363, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 914, 363, 584 is 1.

Therefore, GCD of numbers 335, 914, 363, 584 is 1

Given Input Data is 335, 914, 363, 584

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

Prime Factorization of 335 is 5 x 67

Prime Factorization of 914 is 2 x 457

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(335, 914) = 306190

GCD(335, 914) = ( 335 x 914 ) / 306190

GCD(335, 914) = 306190 / 306190

GCD(335, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 335, 914, 363, 584 is 1

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1. What is the GCD of 335, 914, 363, 584?

GCD of 335, 914, 363, 584 is 1

2. Where do I get the detailed procedure to find GCD of 335, 914, 363, 584?

You can find a detailed procedure to find GCD of 335, 914, 363, 584 on our page.

3. How to find GCD of 335, 914, 363, 584 on a calculator?

You can find the GCD of 335, 914, 363, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.