GCD of 759, 629, 28, 298 Calculator

Given Input numbers are 759, 629, 28, 298

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 759, 629, 28, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 629, 28, 298 is 1.

Therefore, GCD of numbers 759, 629, 28, 298 is 1

Given Input Data is 759, 629, 28, 298

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 629 is 17 x 37

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 298 is 2 x 149

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(759, 629) = 477411

GCD(759, 629) = ( 759 x 629 ) / 477411

GCD(759, 629) = 477411 / 477411

GCD(759, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 759, 629, 28, 298 is 1

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1. What is the GCD of 759, 629, 28, 298?

GCD of 759, 629, 28, 298 is 1

2. Where do I get the detailed procedure to find GCD of 759, 629, 28, 298?

You can find a detailed procedure to find GCD of 759, 629, 28, 298 on our page.

3. How to find GCD of 759, 629, 28, 298 on a calculator?

You can find the GCD of 759, 629, 28, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.