GCD of 574, 336, 26, 924 Calculator

Given Input numbers are 574, 336, 26, 924

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 574, 336, 26, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 336, 26, 924 is 2.

Therefore, GCD of numbers 574, 336, 26, 924 is 2

Given Input Data is 574, 336, 26, 924

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 26 is 2 x 13

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

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(574, 336) = 13776

GCD(574, 336) = ( 574 x 336 ) / 13776

GCD(574, 336) = 192864 / 13776

GCD(574, 336) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 26

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

LCM(14, 26) = 182

GCD(14, 26) = ( 14 x 26 ) / 182

GCD(14, 26) = 364 / 182

GCD(14, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 574, 336, 26, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 575, 31, 974
• GCD of 511, 473, 35, 242
• GCD of 191, 281, 85, 266
• GCD of 393, 387, 93, 947
• GCD of 576, 634, 59, 592

1. What is the GCD of 574, 336, 26, 924?

GCD of 574, 336, 26, 924 is 2

2. Where do I get the detailed procedure to find GCD of 574, 336, 26, 924?

You can find a detailed procedure to find GCD of 574, 336, 26, 924 on our page.

3. How to find GCD of 574, 336, 26, 924 on a calculator?

You can find the GCD of 574, 336, 26, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.