GCD of 24, 784, 528, 353 Calculator

Given Input numbers are 24, 784, 528, 353

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

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 24, 784, 528, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 784, 528, 353 is 1.

Therefore, GCD of numbers 24, 784, 528, 353 is 1

Given Input Data is 24, 784, 528, 353

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

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 353 is 353

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(24, 784) = 2352

GCD(24, 784) = ( 24 x 784 ) / 2352

GCD(24, 784) = 18816 / 2352

GCD(24, 784) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 528

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

LCM(8, 528) = 528

GCD(8, 528) = ( 8 x 528 ) / 528

GCD(8, 528) = 4224 / 528

GCD(8, 528) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 353

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

LCM(8, 353) = 2824

GCD(8, 353) = ( 8 x 353 ) / 2824

GCD(8, 353) = 2824 / 2824

GCD(8, 353) = 1

GCD of 24, 784, 528, 353 is 1

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• GCD of 57, 367, 942, 314
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1. What is the GCD of 24, 784, 528, 353?

GCD of 24, 784, 528, 353 is 1

2. Where do I get the detailed procedure to find GCD of 24, 784, 528, 353?

You can find a detailed procedure to find GCD of 24, 784, 528, 353 on our page.

3. How to find GCD of 24, 784, 528, 353 on a calculator?

You can find the GCD of 24, 784, 528, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.