GCD of 350, 289, 584, 923 Calculator

Given Input numbers are 350, 289, 584, 923

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 584

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

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 350, 289, 584, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 289, 584, 923 is 1.

Therefore, GCD of numbers 350, 289, 584, 923 is 1

Given Input Data is 350, 289, 584, 923

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 923 is 13 x 71

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(350, 289) = 101150

GCD(350, 289) = ( 350 x 289 ) / 101150

GCD(350, 289) = 101150 / 101150

GCD(350, 289) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 350, 289, 584, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 112, 445, 311
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1. What is the GCD of 350, 289, 584, 923?

GCD of 350, 289, 584, 923 is 1

2. Where do I get the detailed procedure to find GCD of 350, 289, 584, 923?

You can find a detailed procedure to find GCD of 350, 289, 584, 923 on our page.

3. How to find GCD of 350, 289, 584, 923 on a calculator?

You can find the GCD of 350, 289, 584, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.