GCD of 622, 752, 226, 884 Calculator

Given Input numbers are 622, 752, 226, 884

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 622, 752, 226, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 752, 226, 884 is 2.

Therefore, GCD of numbers 622, 752, 226, 884 is 2

Given Input Data is 622, 752, 226, 884

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 226 is 2 x 113

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 752) = 233872

GCD(622, 752) = ( 622 x 752 ) / 233872

GCD(622, 752) = 467744 / 233872

GCD(622, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 622, 752, 226, 884 is 2

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1. What is the GCD of 622, 752, 226, 884?

GCD of 622, 752, 226, 884 is 2

2. Where do I get the detailed procedure to find GCD of 622, 752, 226, 884?

You can find a detailed procedure to find GCD of 622, 752, 226, 884 on our page.

3. How to find GCD of 622, 752, 226, 884 on a calculator?

You can find the GCD of 622, 752, 226, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.