GCD of 874, 742, 18, 458 Calculator

Given Input numbers are 874, 742, 18, 458

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 874, 742, 18, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 742, 18, 458 is 2.

Therefore, GCD of numbers 874, 742, 18, 458 is 2

Given Input Data is 874, 742, 18, 458

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 742 is 2 x 7 x 53

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 458 is 2 x 229

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, 742) = 324254

GCD(874, 742) = ( 874 x 742 ) / 324254

GCD(874, 742) = 648508 / 324254

GCD(874, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 874, 742, 18, 458 is 2

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1. What is the GCD of 874, 742, 18, 458?

GCD of 874, 742, 18, 458 is 2

2. Where do I get the detailed procedure to find GCD of 874, 742, 18, 458?

You can find a detailed procedure to find GCD of 874, 742, 18, 458 on our page.

3. How to find GCD of 874, 742, 18, 458 on a calculator?

You can find the GCD of 874, 742, 18, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.