GCD of 26, 298, 825, 572 Calculator

Given Input numbers are 26, 298, 825, 572

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 26, 298, 825, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 298, 825, 572 is 1.

Therefore, GCD of numbers 26, 298, 825, 572 is 1

Given Input Data is 26, 298, 825, 572

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 298 is 2 x 149

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 572 is 2 x 2 x 11 x 13

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, 298) = 3874

GCD(26, 298) = ( 26 x 298 ) / 3874

GCD(26, 298) = 7748 / 3874

GCD(26, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 26, 298, 825, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 223, 121, 727
• GCD of 20, 221, 165, 417
• GCD of 93, 823, 732, 858
• GCD of 12, 792, 157, 216
• GCD of 19, 189, 507, 776

1. What is the GCD of 26, 298, 825, 572?

GCD of 26, 298, 825, 572 is 1

2. Where do I get the detailed procedure to find GCD of 26, 298, 825, 572?

You can find a detailed procedure to find GCD of 26, 298, 825, 572 on our page.

3. How to find GCD of 26, 298, 825, 572 on a calculator?

You can find the GCD of 26, 298, 825, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.