GCD of 25, 494, 275, 475 Calculator

Given Input numbers are 25, 494, 275, 475

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 25, 494, 275, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 494, 275, 475 is 1.

Therefore, GCD of numbers 25, 494, 275, 475 is 1

Given Input Data is 25, 494, 275, 475

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 475 is 5 x 5 x 19

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, 494) = 12350

GCD(25, 494) = ( 25 x 494 ) / 12350

GCD(25, 494) = 12350 / 12350

GCD(25, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 25, 494, 275, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 171, 324, 317
• GCD of 99, 999, 464, 738
• GCD of 65, 325, 547, 182
• GCD of 77, 334, 864, 700
• GCD of 40, 416, 492, 200

1. What is the GCD of 25, 494, 275, 475?

GCD of 25, 494, 275, 475 is 1

2. Where do I get the detailed procedure to find GCD of 25, 494, 275, 475?

You can find a detailed procedure to find GCD of 25, 494, 275, 475 on our page.

3. How to find GCD of 25, 494, 275, 475 on a calculator?

You can find the GCD of 25, 494, 275, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.