GCD of 40, 452, 338, 982 Calculator

Given Input numbers are 40, 452, 338, 982

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 40, 452, 338, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 452, 338, 982 is 2.

Therefore, GCD of numbers 40, 452, 338, 982 is 2

Given Input Data is 40, 452, 338, 982

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 982 is 2 x 491

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(40, 452) = 4520

GCD(40, 452) = ( 40 x 452 ) / 4520

GCD(40, 452) = 18080 / 4520

GCD(40, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 40, 452, 338, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 464, 651, 364
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• GCD of 36, 709, 288, 490

1. What is the GCD of 40, 452, 338, 982?

GCD of 40, 452, 338, 982 is 2

2. Where do I get the detailed procedure to find GCD of 40, 452, 338, 982?

You can find a detailed procedure to find GCD of 40, 452, 338, 982 on our page.

3. How to find GCD of 40, 452, 338, 982 on a calculator?

You can find the GCD of 40, 452, 338, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.