GCD of 26, 524, 363, 353 Calculator

Given Input numbers are 26, 524, 363, 353

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 26, 524, 363, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 524, 363, 353 is 1.

Therefore, GCD of numbers 26, 524, 363, 353 is 1

Given Input Data is 26, 524, 363, 353

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 353 is 353

The above numbers do not have any common prime factor. So GCD is 1

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, 524) = 6812

GCD(26, 524) = ( 26 x 524 ) / 6812

GCD(26, 524) = 13624 / 6812

GCD(26, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 26, 524, 363, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 908, 674, 987
• GCD of 68, 983, 975, 185
• GCD of 18, 782, 704, 107
• GCD of 18, 425, 985, 684
• GCD of 21, 949, 887, 363

1. What is the GCD of 26, 524, 363, 353?

GCD of 26, 524, 363, 353 is 1

2. Where do I get the detailed procedure to find GCD of 26, 524, 363, 353?

You can find a detailed procedure to find GCD of 26, 524, 363, 353 on our page.

3. How to find GCD of 26, 524, 363, 353 on a calculator?

You can find the GCD of 26, 524, 363, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.