GCD of 298, 716, 473 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 298, 716, 473 i.e. 1 largest integer that divides all the numbers equally.

GCD of 298, 716, 473 is 1

GCD(298, 716, 473) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 298, 716, 473 is 1

GCD(298, 716, 473) = 1

GCD of 298,716,473 Calculator

GCDof 298,716,473 is 1

Given Input numbers are 298, 716, 473

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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 298, 716, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 716, 473 is 1.

Therefore, GCD of numbers 298, 716, 473 is 1

Finding GCD of 298, 716, 473 using Prime Factorization

Given Input Data is 298, 716, 473

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 473 is 11 x 43

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 298, 716, 473 using LCM Formula

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(298, 716) = 106684

GCD(298, 716) = ( 298 x 716 ) / 106684

GCD(298, 716) = 213368 / 106684

GCD(298, 716) = 2

Step2:

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 298, 716, 473 is 1

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FAQs on GCD of numbers 298, 716, 473

1. What is the GCD of 298, 716, 473?

GCD of 298, 716, 473 is 1

2. Where do I get the detailed procedure to find GCD of 298, 716, 473?

You can find a detailed procedure to find GCD of 298, 716, 473 on our page.

3. How to find GCD of 298, 716, 473 on a calculator?

You can find the GCD of 298, 716, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.