GCD of 320, 838, 127, 994 Calculator

Given Input numbers are 320, 838, 127, 994

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 320, 838, 127, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 838, 127, 994 is 1.

Therefore, GCD of numbers 320, 838, 127, 994 is 1

Given Input Data is 320, 838, 127, 994

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 838 is 2 x 419

Prime Factorization of 127 is 127

Prime Factorization of 994 is 2 x 7 x 71

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(320, 838) = 134080

GCD(320, 838) = ( 320 x 838 ) / 134080

GCD(320, 838) = 268160 / 134080

GCD(320, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 127

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

LCM(2, 127) = 254

GCD(2, 127) = ( 2 x 127 ) / 254

GCD(2, 127) = 254 / 254

GCD(2, 127) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 320, 838, 127, 994 is 1

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1. What is the GCD of 320, 838, 127, 994?

GCD of 320, 838, 127, 994 is 1

2. Where do I get the detailed procedure to find GCD of 320, 838, 127, 994?

You can find a detailed procedure to find GCD of 320, 838, 127, 994 on our page.

3. How to find GCD of 320, 838, 127, 994 on a calculator?

You can find the GCD of 320, 838, 127, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.