GCD of 902, 994, 34, 404 Calculator

Given Input numbers are 902, 994, 34, 404

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 902, 994, 34, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 994, 34, 404 is 2.

Therefore, GCD of numbers 902, 994, 34, 404 is 2

Given Input Data is 902, 994, 34, 404

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 34 is 2 x 17

Prime Factorization of 404 is 2 x 2 x 101

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(902, 994) = 448294

GCD(902, 994) = ( 902 x 994 ) / 448294

GCD(902, 994) = 896588 / 448294

GCD(902, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 902, 994, 34, 404 is 2

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1. What is the GCD of 902, 994, 34, 404?

GCD of 902, 994, 34, 404 is 2

2. Where do I get the detailed procedure to find GCD of 902, 994, 34, 404?

You can find a detailed procedure to find GCD of 902, 994, 34, 404 on our page.

3. How to find GCD of 902, 994, 34, 404 on a calculator?

You can find the GCD of 902, 994, 34, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.