GCD of 398, 429, 660 Calculator

Given Input numbers are 398, 429, 660

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 398, 429, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 429, 660 is 1.

Therefore, GCD of numbers 398, 429, 660 is 1

Given Input Data is 398, 429, 660

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 660 is 2 x 2 x 3 x 5 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(398, 429) = 170742

GCD(398, 429) = ( 398 x 429 ) / 170742

GCD(398, 429) = 170742 / 170742

GCD(398, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 398, 429, 660 is 1

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• GCD of 731, 150, 587
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1. What is the GCD of 398, 429, 660?

GCD of 398, 429, 660 is 1

2. Where do I get the detailed procedure to find GCD of 398, 429, 660?

You can find a detailed procedure to find GCD of 398, 429, 660 on our page.

3. How to find GCD of 398, 429, 660 on a calculator?

You can find the GCD of 398, 429, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.