GCD of 718, 298, 46, 473 Calculator

Given Input numbers are 718, 298, 46, 473

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 298

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

1, 2, 149, 298

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 718, 298, 46, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 298, 46, 473 is 1.

Therefore, GCD of numbers 718, 298, 46, 473 is 1

Given Input Data is 718, 298, 46, 473

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 298 is 2 x 149

Prime Factorization of 46 is 2 x 23

Prime Factorization of 473 is 11 x 43

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(718, 298) = 106982

GCD(718, 298) = ( 718 x 298 ) / 106982

GCD(718, 298) = 213964 / 106982

GCD(718, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 473

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

LCM(2, 473) = 946

GCD(2, 473) = ( 2 x 473 ) / 946

GCD(2, 473) = 946 / 946

GCD(2, 473) = 1

GCD of 718, 298, 46, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 424, 11, 640
• GCD of 347, 583, 15, 623
• GCD of 687, 102, 61, 280
• GCD of 463, 365, 41, 444
• GCD of 682, 123, 87, 660

1. What is the GCD of 718, 298, 46, 473?

GCD of 718, 298, 46, 473 is 1

2. Where do I get the detailed procedure to find GCD of 718, 298, 46, 473?

You can find a detailed procedure to find GCD of 718, 298, 46, 473 on our page.

3. How to find GCD of 718, 298, 46, 473 on a calculator?

You can find the GCD of 718, 298, 46, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.