GCD of 928, 968, 24, 297 Calculator

Given Input numbers are 928, 968, 24, 297

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 928, 968, 24, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 968, 24, 297 is 1.

Therefore, GCD of numbers 928, 968, 24, 297 is 1

Given Input Data is 928, 968, 24, 297

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

Prime Factorization of 297 is 3 x 3 x 3 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(928, 968) = 112288

GCD(928, 968) = ( 928 x 968 ) / 112288

GCD(928, 968) = 898304 / 112288

GCD(928, 968) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 24

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

LCM(8, 24) = 24

GCD(8, 24) = ( 8 x 24 ) / 24

GCD(8, 24) = 192 / 24

GCD(8, 24) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 297

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

LCM(8, 297) = 2376

GCD(8, 297) = ( 8 x 297 ) / 2376

GCD(8, 297) = 2376 / 2376

GCD(8, 297) = 1

GCD of 928, 968, 24, 297 is 1

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1. What is the GCD of 928, 968, 24, 297?

GCD of 928, 968, 24, 297 is 1

2. Where do I get the detailed procedure to find GCD of 928, 968, 24, 297?

You can find a detailed procedure to find GCD of 928, 968, 24, 297 on our page.

3. How to find GCD of 928, 968, 24, 297 on a calculator?

You can find the GCD of 928, 968, 24, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.