GCD of 299, 224, 64, 929 Calculator

Given Input numbers are 299, 224, 64, 929

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 299, 224, 64, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 224, 64, 929 is 1.

Therefore, GCD of numbers 299, 224, 64, 929 is 1

Given Input Data is 299, 224, 64, 929

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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(299, 224) = 66976

GCD(299, 224) = ( 299 x 224 ) / 66976

GCD(299, 224) = 66976 / 66976

GCD(299, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 299, 224, 64, 929 is 1

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1. What is the GCD of 299, 224, 64, 929?

GCD of 299, 224, 64, 929 is 1

2. Where do I get the detailed procedure to find GCD of 299, 224, 64, 929?

You can find a detailed procedure to find GCD of 299, 224, 64, 929 on our page.

3. How to find GCD of 299, 224, 64, 929 on a calculator?

You can find the GCD of 299, 224, 64, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.