GCD of 44, 622, 894, 120 Calculator

Given Input numbers are 44, 622, 894, 120

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 622

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

1, 2, 311, 622

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 44, 622, 894, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 622, 894, 120 is 2.

Therefore, GCD of numbers 44, 622, 894, 120 is 2

Given Input Data is 44, 622, 894, 120

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 622 is 2 x 311

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(44, 622) = 13684

GCD(44, 622) = ( 44 x 622 ) / 13684

GCD(44, 622) = 27368 / 13684

GCD(44, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

GCD of 44, 622, 894, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 267, 189, 244
• GCD of 64, 833, 642, 988
• GCD of 31, 669, 950, 705
• GCD of 30, 213, 581, 381
• GCD of 11, 322, 964, 128

1. What is the GCD of 44, 622, 894, 120?

GCD of 44, 622, 894, 120 is 2

2. Where do I get the detailed procedure to find GCD of 44, 622, 894, 120?

You can find a detailed procedure to find GCD of 44, 622, 894, 120 on our page.

3. How to find GCD of 44, 622, 894, 120 on a calculator?

You can find the GCD of 44, 622, 894, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.