GCD of 47, 679, 298, 268 Calculator

Given Input numbers are 47, 679, 298, 268

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 298

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

1, 2, 149, 298

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 47, 679, 298, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 679, 298, 268 is 1.

Therefore, GCD of numbers 47, 679, 298, 268 is 1

Given Input Data is 47, 679, 298, 268

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

Prime Factorization of 47 is 47

Prime Factorization of 679 is 7 x 97

Prime Factorization of 298 is 2 x 149

Prime Factorization of 268 is 2 x 2 x 67

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(47, 679) = 31913

GCD(47, 679) = ( 47 x 679 ) / 31913

GCD(47, 679) = 31913 / 31913

GCD(47, 679) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 47, 679, 298, 268 is 1

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1. What is the GCD of 47, 679, 298, 268?

GCD of 47, 679, 298, 268 is 1

2. Where do I get the detailed procedure to find GCD of 47, 679, 298, 268?

You can find a detailed procedure to find GCD of 47, 679, 298, 268 on our page.

3. How to find GCD of 47, 679, 298, 268 on a calculator?

You can find the GCD of 47, 679, 298, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.