GCD of 83, 470, 320, 994 Calculator

Given Input numbers are 83, 470, 320, 994

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 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 83, 470, 320, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 470, 320, 994 is 1.

Therefore, GCD of numbers 83, 470, 320, 994 is 1

Given Input Data is 83, 470, 320, 994

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

Prime Factorization of 83 is 83

Prime Factorization of 470 is 2 x 5 x 47

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

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(83, 470) = 39010

GCD(83, 470) = ( 83 x 470 ) / 39010

GCD(83, 470) = 39010 / 39010

GCD(83, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 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 83, 470, 320, 994 is 1

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1. What is the GCD of 83, 470, 320, 994?

GCD of 83, 470, 320, 994 is 1

2. Where do I get the detailed procedure to find GCD of 83, 470, 320, 994?

You can find a detailed procedure to find GCD of 83, 470, 320, 994 on our page.

3. How to find GCD of 83, 470, 320, 994 on a calculator?

You can find the GCD of 83, 470, 320, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.