GCD of 622, 918, 20, 448 Calculator

Given Input numbers are 622, 918, 20, 448

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 622, 918, 20, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 918, 20, 448 is 2.

Therefore, GCD of numbers 622, 918, 20, 448 is 2

Given Input Data is 622, 918, 20, 448

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(622, 918) = 285498

GCD(622, 918) = ( 622 x 918 ) / 285498

GCD(622, 918) = 570996 / 285498

GCD(622, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 622, 918, 20, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 480, 70, 500
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• GCD of 940, 553, 92, 873

1. What is the GCD of 622, 918, 20, 448?

GCD of 622, 918, 20, 448 is 2

2. Where do I get the detailed procedure to find GCD of 622, 918, 20, 448?

You can find a detailed procedure to find GCD of 622, 918, 20, 448 on our page.

3. How to find GCD of 622, 918, 20, 448 on a calculator?

You can find the GCD of 622, 918, 20, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.