GCD of 853, 312, 389, 922 Calculator

Given Input numbers are 853, 312, 389, 922

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 389

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

1, 389

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 853, 312, 389, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 312, 389, 922 is 1.

Therefore, GCD of numbers 853, 312, 389, 922 is 1

Given Input Data is 853, 312, 389, 922

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

Prime Factorization of 853 is 853

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 389 is 389

Prime Factorization of 922 is 2 x 461

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(853, 312) = 266136

GCD(853, 312) = ( 853 x 312 ) / 266136

GCD(853, 312) = 266136 / 266136

GCD(853, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 853, 312, 389, 922 is 1

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1. What is the GCD of 853, 312, 389, 922?

GCD of 853, 312, 389, 922 is 1

2. Where do I get the detailed procedure to find GCD of 853, 312, 389, 922?

You can find a detailed procedure to find GCD of 853, 312, 389, 922 on our page.

3. How to find GCD of 853, 312, 389, 922 on a calculator?

You can find the GCD of 853, 312, 389, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.