GCD of 298, 417, 764 Calculator

Given Input numbers are 298, 417, 764

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 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 298, 417, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 417, 764 is 1.

Therefore, GCD of numbers 298, 417, 764 is 1

Given Input Data is 298, 417, 764

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 417 is 3 x 139

Prime Factorization of 764 is 2 x 2 x 191

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(298, 417) = 124266

GCD(298, 417) = ( 298 x 417 ) / 124266

GCD(298, 417) = 124266 / 124266

GCD(298, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 298, 417, 764 is 1

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1. What is the GCD of 298, 417, 764?

GCD of 298, 417, 764 is 1

2. Where do I get the detailed procedure to find GCD of 298, 417, 764?

You can find a detailed procedure to find GCD of 298, 417, 764 on our page.

3. How to find GCD of 298, 417, 764 on a calculator?

You can find the GCD of 298, 417, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.