GCD of 25, 133, 561, 754 Calculator

Given Input numbers are 25, 133, 561, 754

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 25, 133, 561, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 133, 561, 754 is 1.

Therefore, GCD of numbers 25, 133, 561, 754 is 1

Given Input Data is 25, 133, 561, 754

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 133 is 7 x 19

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 754 is 2 x 13 x 29

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(25, 133) = 3325

GCD(25, 133) = ( 25 x 133 ) / 3325

GCD(25, 133) = 3325 / 3325

GCD(25, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 25, 133, 561, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 574, 111, 822
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• GCD of 63, 357, 428, 517

1. What is the GCD of 25, 133, 561, 754?

GCD of 25, 133, 561, 754 is 1

2. Where do I get the detailed procedure to find GCD of 25, 133, 561, 754?

You can find a detailed procedure to find GCD of 25, 133, 561, 754 on our page.

3. How to find GCD of 25, 133, 561, 754 on a calculator?

You can find the GCD of 25, 133, 561, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.