GCD of 468, 278, 26, 982 Calculator

Given Input numbers are 468, 278, 26, 982

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 468, 278, 26, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 278, 26, 982 is 2.

Therefore, GCD of numbers 468, 278, 26, 982 is 2

Given Input Data is 468, 278, 26, 982

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 278 is 2 x 139

Prime Factorization of 26 is 2 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(468, 278) = 65052

GCD(468, 278) = ( 468 x 278 ) / 65052

GCD(468, 278) = 130104 / 65052

GCD(468, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 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 468, 278, 26, 982 is 2

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1. What is the GCD of 468, 278, 26, 982?

GCD of 468, 278, 26, 982 is 2

2. Where do I get the detailed procedure to find GCD of 468, 278, 26, 982?

You can find a detailed procedure to find GCD of 468, 278, 26, 982 on our page.

3. How to find GCD of 468, 278, 26, 982 on a calculator?

You can find the GCD of 468, 278, 26, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.