GCD of 924, 856, 42, 674 Calculator

Given Input numbers are 924, 856, 42, 674

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 924, 856, 42, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 856, 42, 674 is 2.

Therefore, GCD of numbers 924, 856, 42, 674 is 2

Given Input Data is 924, 856, 42, 674

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 856 is 2 x 2 x 2 x 107

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 674 is 2 x 337

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, 856) = 197736

GCD(924, 856) = ( 924 x 856 ) / 197736

GCD(924, 856) = 790944 / 197736

GCD(924, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 924, 856, 42, 674 is 2

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1. What is the GCD of 924, 856, 42, 674?

GCD of 924, 856, 42, 674 is 2

2. Where do I get the detailed procedure to find GCD of 924, 856, 42, 674?

You can find a detailed procedure to find GCD of 924, 856, 42, 674 on our page.

3. How to find GCD of 924, 856, 42, 674 on a calculator?

You can find the GCD of 924, 856, 42, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.