GCD of 320, 106, 83, 919 Calculator

Given Input numbers are 320, 106, 83, 919

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 83

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

1, 83

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 320, 106, 83, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 106, 83, 919 is 1.

Therefore, GCD of numbers 320, 106, 83, 919 is 1

Given Input Data is 320, 106, 83, 919

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 106 is 2 x 53

Prime Factorization of 83 is 83

Prime Factorization of 919 is 919

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, 106) = 16960

GCD(320, 106) = ( 320 x 106 ) / 16960

GCD(320, 106) = 33920 / 16960

GCD(320, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 320, 106, 83, 919 is 1

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1. What is the GCD of 320, 106, 83, 919?

GCD of 320, 106, 83, 919 is 1

2. Where do I get the detailed procedure to find GCD of 320, 106, 83, 919?

You can find a detailed procedure to find GCD of 320, 106, 83, 919 on our page.

3. How to find GCD of 320, 106, 83, 919 on a calculator?

You can find the GCD of 320, 106, 83, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.