GCD of 922, 312, 42, 288 Calculator

Given Input numbers are 922, 312, 42, 288

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

Divisors of 922

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

1, 2, 461, 922

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 922, 312, 42, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 312, 42, 288 is 2.

Therefore, GCD of numbers 922, 312, 42, 288 is 2

Given Input Data is 922, 312, 42, 288

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

Prime Factorization of 922 is 2 x 461

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(922, 312) = 143832

GCD(922, 312) = ( 922 x 312 ) / 143832

GCD(922, 312) = 287664 / 143832

GCD(922, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

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

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 922, 312, 42, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 152, 23, 301
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• GCD of 972, 764, 67, 829
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• GCD of 121, 891, 43, 700

1. What is the GCD of 922, 312, 42, 288?

GCD of 922, 312, 42, 288 is 2

2. Where do I get the detailed procedure to find GCD of 922, 312, 42, 288?

You can find a detailed procedure to find GCD of 922, 312, 42, 288 on our page.

3. How to find GCD of 922, 312, 42, 288 on a calculator?

You can find the GCD of 922, 312, 42, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.