GCD of 389, 800, 97, 132 Calculator

Given Input numbers are 389, 800, 97, 132

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 389, 800, 97, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 800, 97, 132 is 1.

Therefore, GCD of numbers 389, 800, 97, 132 is 1

Given Input Data is 389, 800, 97, 132

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

Prime Factorization of 389 is 389

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 97 is 97

Prime Factorization of 132 is 2 x 2 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(389, 800) = 311200

GCD(389, 800) = ( 389 x 800 ) / 311200

GCD(389, 800) = 311200 / 311200

GCD(389, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 389, 800, 97, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 369, 27, 691
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• GCD of 176, 379, 78, 144
• GCD of 387, 358, 49, 244
• GCD of 370, 997, 87, 531

1. What is the GCD of 389, 800, 97, 132?

GCD of 389, 800, 97, 132 is 1

2. Where do I get the detailed procedure to find GCD of 389, 800, 97, 132?

You can find a detailed procedure to find GCD of 389, 800, 97, 132 on our page.

3. How to find GCD of 389, 800, 97, 132 on a calculator?

You can find the GCD of 389, 800, 97, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.