GCD of 28, 756, 298, 929 Calculator

Given Input numbers are 28, 756, 298, 929

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 28, 756, 298, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 756, 298, 929 is 1.

Therefore, GCD of numbers 28, 756, 298, 929 is 1

Given Input Data is 28, 756, 298, 929

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 298 is 2 x 149

Prime Factorization of 929 is 929

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(28, 756) = 756

GCD(28, 756) = ( 28 x 756 ) / 756

GCD(28, 756) = 21168 / 756

GCD(28, 756) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 298

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

LCM(28, 298) = 4172

GCD(28, 298) = ( 28 x 298 ) / 4172

GCD(28, 298) = 8344 / 4172

GCD(28, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

GCD of 28, 756, 298, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 921, 602, 526
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• GCD of 81, 812, 142, 767

1. What is the GCD of 28, 756, 298, 929?

GCD of 28, 756, 298, 929 is 1

2. Where do I get the detailed procedure to find GCD of 28, 756, 298, 929?

You can find a detailed procedure to find GCD of 28, 756, 298, 929 on our page.

3. How to find GCD of 28, 756, 298, 929 on a calculator?

You can find the GCD of 28, 756, 298, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.