GCD of 413, 502, 477, 655 Calculator

Given Input numbers are 413, 502, 477, 655

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 413, 502, 477, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 502, 477, 655 is 1.

Therefore, GCD of numbers 413, 502, 477, 655 is 1

Given Input Data is 413, 502, 477, 655

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 502 is 2 x 251

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 655 is 5 x 131

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, 502) = 207326

GCD(413, 502) = ( 413 x 502 ) / 207326

GCD(413, 502) = 207326 / 207326

GCD(413, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 413, 502, 477, 655 is 1

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1. What is the GCD of 413, 502, 477, 655?

GCD of 413, 502, 477, 655 is 1

2. Where do I get the detailed procedure to find GCD of 413, 502, 477, 655?

You can find a detailed procedure to find GCD of 413, 502, 477, 655 on our page.

3. How to find GCD of 413, 502, 477, 655 on a calculator?

You can find the GCD of 413, 502, 477, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.