GCD of 299, 464, 125, 550 Calculator

Given Input numbers are 299, 464, 125, 550

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 299, 464, 125, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 464, 125, 550 is 1.

Therefore, GCD of numbers 299, 464, 125, 550 is 1

Given Input Data is 299, 464, 125, 550

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 550 is 2 x 5 x 5 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(299, 464) = 138736

GCD(299, 464) = ( 299 x 464 ) / 138736

GCD(299, 464) = 138736 / 138736

GCD(299, 464) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 299, 464, 125, 550 is 1

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1. What is the GCD of 299, 464, 125, 550?

GCD of 299, 464, 125, 550 is 1

2. Where do I get the detailed procedure to find GCD of 299, 464, 125, 550?

You can find a detailed procedure to find GCD of 299, 464, 125, 550 on our page.

3. How to find GCD of 299, 464, 125, 550 on a calculator?

You can find the GCD of 299, 464, 125, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.