GCD of 302, 658, 891 Calculator

Given Input numbers are 302, 658, 891

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 302, 658, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 658, 891 is 1.

Therefore, GCD of numbers 302, 658, 891 is 1

Given Input Data is 302, 658, 891

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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(302, 658) = 99358

GCD(302, 658) = ( 302 x 658 ) / 99358

GCD(302, 658) = 198716 / 99358

GCD(302, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

GCD of 302, 658, 891 is 1

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1. What is the GCD of 302, 658, 891?

GCD of 302, 658, 891 is 1

2. Where do I get the detailed procedure to find GCD of 302, 658, 891?

You can find a detailed procedure to find GCD of 302, 658, 891 on our page.

3. How to find GCD of 302, 658, 891 on a calculator?

You can find the GCD of 302, 658, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.