GCD of 338, 296, 21, 887 Calculator

Given Input numbers are 338, 296, 21, 887

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 338, 296, 21, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 296, 21, 887 is 1.

Therefore, GCD of numbers 338, 296, 21, 887 is 1

Given Input Data is 338, 296, 21, 887

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 887 is 887

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(338, 296) = 50024

GCD(338, 296) = ( 338 x 296 ) / 50024

GCD(338, 296) = 100048 / 50024

GCD(338, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 887

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

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

GCD(1, 887) = 887 / 887

GCD(1, 887) = 1

GCD of 338, 296, 21, 887 is 1

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• GCD of 137, 470, 38, 660
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1. What is the GCD of 338, 296, 21, 887?

GCD of 338, 296, 21, 887 is 1

2. Where do I get the detailed procedure to find GCD of 338, 296, 21, 887?

You can find a detailed procedure to find GCD of 338, 296, 21, 887 on our page.

3. How to find GCD of 338, 296, 21, 887 on a calculator?

You can find the GCD of 338, 296, 21, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.