GCD of 26, 976, 442, 492 Calculator

Given Input numbers are 26, 976, 442, 492

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

Divisors of 26

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

1, 2, 13, 26

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 26, 976, 442, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 976, 442, 492 is 2.

Therefore, GCD of numbers 26, 976, 442, 492 is 2

Given Input Data is 26, 976, 442, 492

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(26, 976) = 12688

GCD(26, 976) = ( 26 x 976 ) / 12688

GCD(26, 976) = 25376 / 12688

GCD(26, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 26, 976, 442, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 325, 831, 494
• GCD of 31, 175, 456, 630
• GCD of 77, 196, 687, 413
• GCD of 64, 375, 985, 363
• GCD of 70, 809, 170, 696

1. What is the GCD of 26, 976, 442, 492?

GCD of 26, 976, 442, 492 is 2

2. Where do I get the detailed procedure to find GCD of 26, 976, 442, 492?

You can find a detailed procedure to find GCD of 26, 976, 442, 492 on our page.

3. How to find GCD of 26, 976, 442, 492 on a calculator?

You can find the GCD of 26, 976, 442, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.