GCD of 26, 514, 972, 328 Calculator

Given Input numbers are 26, 514, 972, 328

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 26, 514, 972, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 514, 972, 328 is 2.

Therefore, GCD of numbers 26, 514, 972, 328 is 2

Given Input Data is 26, 514, 972, 328

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 514 is 2 x 257

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 328 is 2 x 2 x 2 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, 514) = 6682

GCD(26, 514) = ( 26 x 514 ) / 6682

GCD(26, 514) = 13364 / 6682

GCD(26, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 26, 514, 972, 328 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 162, 504, 220
• GCD of 23, 795, 237, 851
• GCD of 77, 972, 807, 656
• GCD of 13, 194, 311, 874
• GCD of 72, 404, 757, 294

1. What is the GCD of 26, 514, 972, 328?

GCD of 26, 514, 972, 328 is 2

2. Where do I get the detailed procedure to find GCD of 26, 514, 972, 328?

You can find a detailed procedure to find GCD of 26, 514, 972, 328 on our page.

3. How to find GCD of 26, 514, 972, 328 on a calculator?

You can find the GCD of 26, 514, 972, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.