GCD of 874, 106, 38, 824 Calculator

Given Input numbers are 874, 106, 38, 824

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 874, 106, 38, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 106, 38, 824 is 2.

Therefore, GCD of numbers 874, 106, 38, 824 is 2

Given Input Data is 874, 106, 38, 824

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 106 is 2 x 53

Prime Factorization of 38 is 2 x 19

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(874, 106) = 46322

GCD(874, 106) = ( 874 x 106 ) / 46322

GCD(874, 106) = 92644 / 46322

GCD(874, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 874, 106, 38, 824 is 2

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1. What is the GCD of 874, 106, 38, 824?

GCD of 874, 106, 38, 824 is 2

2. Where do I get the detailed procedure to find GCD of 874, 106, 38, 824?

You can find a detailed procedure to find GCD of 874, 106, 38, 824 on our page.

3. How to find GCD of 874, 106, 38, 824 on a calculator?

You can find the GCD of 874, 106, 38, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.