GCD of 413, 275, 13, 574 Calculator

Given Input numbers are 413, 275, 13, 574

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 275

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

1, 5, 11, 25, 55, 275

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 413, 275, 13, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 275, 13, 574 is 1.

Therefore, GCD of numbers 413, 275, 13, 574 is 1

Given Input Data is 413, 275, 13, 574

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 13 is 13

Prime Factorization of 574 is 2 x 7 x 41

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(413, 275) = 113575

GCD(413, 275) = ( 413 x 275 ) / 113575

GCD(413, 275) = 113575 / 113575

GCD(413, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 413, 275, 13, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 704, 34, 348
• GCD of 480, 573, 52, 576
• GCD of 334, 533, 49, 478
• GCD of 888, 356, 21, 946
• GCD of 432, 526, 53, 647

1. What is the GCD of 413, 275, 13, 574?

GCD of 413, 275, 13, 574 is 1

2. Where do I get the detailed procedure to find GCD of 413, 275, 13, 574?

You can find a detailed procedure to find GCD of 413, 275, 13, 574 on our page.

3. How to find GCD of 413, 275, 13, 574 on a calculator?

You can find the GCD of 413, 275, 13, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.