GCD of 730, 672, 867, 584 Calculator

Given Input numbers are 730, 672, 867, 584

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 730, 672, 867, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 672, 867, 584 is 1.

Therefore, GCD of numbers 730, 672, 867, 584 is 1

Given Input Data is 730, 672, 867, 584

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 867 is 3 x 17 x 17

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(730, 672) = 245280

GCD(730, 672) = ( 730 x 672 ) / 245280

GCD(730, 672) = 490560 / 245280

GCD(730, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 867

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

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

GCD(2, 867) = 1734 / 1734

GCD(2, 867) = 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 730, 672, 867, 584 is 1

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1. What is the GCD of 730, 672, 867, 584?

GCD of 730, 672, 867, 584 is 1

2. Where do I get the detailed procedure to find GCD of 730, 672, 867, 584?

You can find a detailed procedure to find GCD of 730, 672, 867, 584 on our page.

3. How to find GCD of 730, 672, 867, 584 on a calculator?

You can find the GCD of 730, 672, 867, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.