GCD of 898, 892, 321 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 898, 892, 321 i.e. 1 largest integer that divides all the numbers equally.

GCD of 898, 892, 321 is 1

GCD(898, 892, 321) = 1

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

GCD of

GCD of numbers 898, 892, 321 is 1

GCD(898, 892, 321) = 1

GCD of 898,892,321 Calculator

GCDof 898,892,321 is 1

Given Input numbers are 898, 892, 321

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 898, 892, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 892, 321 is 1.

Therefore, GCD of numbers 898, 892, 321 is 1

Finding GCD of 898, 892, 321 using Prime Factorization

Given Input Data is 898, 892, 321

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 321 is 3 x 107

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

Finding GCD of 898, 892, 321 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(898, 892) = 400508

GCD(898, 892) = ( 898 x 892 ) / 400508

GCD(898, 892) = 801016 / 400508

GCD(898, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 898, 892, 321 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 898, 892, 321

1. What is the GCD of 898, 892, 321?

GCD of 898, 892, 321 is 1

2. Where do I get the detailed procedure to find GCD of 898, 892, 321?

You can find a detailed procedure to find GCD of 898, 892, 321 on our page.

3. How to find GCD of 898, 892, 321 on a calculator?

You can find the GCD of 898, 892, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.