GCD of 413, 671, 682, 502 Calculator

Given Input numbers are 413, 671, 682, 502

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 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 502

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

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 413, 671, 682, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 671, 682, 502 is 1.

Therefore, GCD of numbers 413, 671, 682, 502 is 1

Given Input Data is 413, 671, 682, 502

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 671 is 11 x 61

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 502 is 2 x 251

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, 671) = 277123

GCD(413, 671) = ( 413 x 671 ) / 277123

GCD(413, 671) = 277123 / 277123

GCD(413, 671) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 413, 671, 682, 502 is 1

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1. What is the GCD of 413, 671, 682, 502?

GCD of 413, 671, 682, 502 is 1

2. Where do I get the detailed procedure to find GCD of 413, 671, 682, 502?

You can find a detailed procedure to find GCD of 413, 671, 682, 502 on our page.

3. How to find GCD of 413, 671, 682, 502 on a calculator?

You can find the GCD of 413, 671, 682, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.