GCD of 706, 539, 24, 308 Calculator

Given Input numbers are 706, 539, 24, 308

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 706, 539, 24, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 539, 24, 308 is 1.

Therefore, GCD of numbers 706, 539, 24, 308 is 1

Given Input Data is 706, 539, 24, 308

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(706, 539) = 380534

GCD(706, 539) = ( 706 x 539 ) / 380534

GCD(706, 539) = 380534 / 380534

GCD(706, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 706, 539, 24, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 474, 12, 666
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• GCD of 955, 484, 26, 944

1. What is the GCD of 706, 539, 24, 308?

GCD of 706, 539, 24, 308 is 1

2. Where do I get the detailed procedure to find GCD of 706, 539, 24, 308?

You can find a detailed procedure to find GCD of 706, 539, 24, 308 on our page.

3. How to find GCD of 706, 539, 24, 308 on a calculator?

You can find the GCD of 706, 539, 24, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.