GCD of 413, 538, 60 Calculator

Given Input numbers are 413, 538, 60

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 413, 538, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 538, 60 is 1.

Therefore, GCD of numbers 413, 538, 60 is 1

Given Input Data is 413, 538, 60

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 538 is 2 x 269

Prime Factorization of 60 is 2 x 2 x 3 x 5

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, 538) = 222194

GCD(413, 538) = ( 413 x 538 ) / 222194

GCD(413, 538) = 222194 / 222194

GCD(413, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

GCD of 413, 538, 60 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 568, 51
• GCD of 754, 814, 15
• GCD of 709, 203, 36
• GCD of 324, 157, 15
• GCD of 668, 293, 75

1. What is the GCD of 413, 538, 60?

GCD of 413, 538, 60 is 1

2. Where do I get the detailed procedure to find GCD of 413, 538, 60?

You can find a detailed procedure to find GCD of 413, 538, 60 on our page.

3. How to find GCD of 413, 538, 60 on a calculator?

You can find the GCD of 413, 538, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.