GCD of 320, 665, 292, 584 Calculator

Given Input numbers are 320, 665, 292, 584

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 320, 665, 292, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 665, 292, 584 is 1.

Therefore, GCD of numbers 320, 665, 292, 584 is 1

Given Input Data is 320, 665, 292, 584

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 665 is 5 x 7 x 19

Prime Factorization of 292 is 2 x 2 x 73

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(320, 665) = 42560

GCD(320, 665) = ( 320 x 665 ) / 42560

GCD(320, 665) = 212800 / 42560

GCD(320, 665) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 292

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

LCM(5, 292) = 1460

GCD(5, 292) = ( 5 x 292 ) / 1460

GCD(5, 292) = 1460 / 1460

GCD(5, 292) = 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 320, 665, 292, 584 is 1

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1. What is the GCD of 320, 665, 292, 584?

GCD of 320, 665, 292, 584 is 1

2. Where do I get the detailed procedure to find GCD of 320, 665, 292, 584?

You can find a detailed procedure to find GCD of 320, 665, 292, 584 on our page.

3. How to find GCD of 320, 665, 292, 584 on a calculator?

You can find the GCD of 320, 665, 292, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.