GCD of 256, 982, 40, 958 Calculator

Given Input numbers are 256, 982, 40, 958

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 982

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

1, 2, 491, 982

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 256, 982, 40, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 982, 40, 958 is 2.

Therefore, GCD of numbers 256, 982, 40, 958 is 2

Given Input Data is 256, 982, 40, 958

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 982 is 2 x 491

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

Prime Factorization of 958 is 2 x 479

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(256, 982) = 125696

GCD(256, 982) = ( 256 x 982 ) / 125696

GCD(256, 982) = 251392 / 125696

GCD(256, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 256, 982, 40, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 561, 76, 836
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• GCD of 304, 118, 48, 469

1. What is the GCD of 256, 982, 40, 958?

GCD of 256, 982, 40, 958 is 2

2. Where do I get the detailed procedure to find GCD of 256, 982, 40, 958?

You can find a detailed procedure to find GCD of 256, 982, 40, 958 on our page.

3. How to find GCD of 256, 982, 40, 958 on a calculator?

You can find the GCD of 256, 982, 40, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.