GCD of 242, 672, 622, 748 Calculator

Given Input numbers are 242, 672, 622, 748

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 622

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

1, 2, 311, 622

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 242, 672, 622, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 672, 622, 748 is 2.

Therefore, GCD of numbers 242, 672, 622, 748 is 2

Given Input Data is 242, 672, 622, 748

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 622 is 2 x 311

Prime Factorization of 748 is 2 x 2 x 11 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(242, 672) = 81312

GCD(242, 672) = ( 242 x 672 ) / 81312

GCD(242, 672) = 162624 / 81312

GCD(242, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 242, 672, 622, 748 is 2

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1. What is the GCD of 242, 672, 622, 748?

GCD of 242, 672, 622, 748 is 2

2. Where do I get the detailed procedure to find GCD of 242, 672, 622, 748?

You can find a detailed procedure to find GCD of 242, 672, 622, 748 on our page.

3. How to find GCD of 242, 672, 622, 748 on a calculator?

You can find the GCD of 242, 672, 622, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.