GCD of 299, 470, 64, 925 Calculator

Given Input numbers are 299, 470, 64, 925

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 299, 470, 64, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 470, 64, 925 is 1.

Therefore, GCD of numbers 299, 470, 64, 925 is 1

Given Input Data is 299, 470, 64, 925

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 470 is 2 x 5 x 47

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

Prime Factorization of 925 is 5 x 5 x 37

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, 470) = 140530

GCD(299, 470) = ( 299 x 470 ) / 140530

GCD(299, 470) = 140530 / 140530

GCD(299, 470) = 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 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 299, 470, 64, 925 is 1

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1. What is the GCD of 299, 470, 64, 925?

GCD of 299, 470, 64, 925 is 1

2. Where do I get the detailed procedure to find GCD of 299, 470, 64, 925?

You can find a detailed procedure to find GCD of 299, 470, 64, 925 on our page.

3. How to find GCD of 299, 470, 64, 925 on a calculator?

You can find the GCD of 299, 470, 64, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.