GCD of 924, 728, 202, 422 Calculator

Given Input numbers are 924, 728, 202, 422

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 924, 728, 202, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 728, 202, 422 is 2.

Therefore, GCD of numbers 924, 728, 202, 422 is 2

Given Input Data is 924, 728, 202, 422

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 202 is 2 x 101

Prime Factorization of 422 is 2 x 211

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(924, 728) = 24024

GCD(924, 728) = ( 924 x 728 ) / 24024

GCD(924, 728) = 672672 / 24024

GCD(924, 728) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 202

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

LCM(28, 202) = 2828

GCD(28, 202) = ( 28 x 202 ) / 2828

GCD(28, 202) = 5656 / 2828

GCD(28, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

GCD of 924, 728, 202, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 520, 653, 958
• GCD of 594, 959, 726, 749
• GCD of 382, 562, 258, 216
• GCD of 886, 791, 180, 338
• GCD of 534, 876, 530, 195

1. What is the GCD of 924, 728, 202, 422?

GCD of 924, 728, 202, 422 is 2

2. Where do I get the detailed procedure to find GCD of 924, 728, 202, 422?

You can find a detailed procedure to find GCD of 924, 728, 202, 422 on our page.

3. How to find GCD of 924, 728, 202, 422 on a calculator?

You can find the GCD of 924, 728, 202, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.