GCD of 413, 916, 48, 671 Calculator

Given Input numbers are 413, 916, 48, 671

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 671

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

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 413, 916, 48, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 916, 48, 671 is 1.

Therefore, GCD of numbers 413, 916, 48, 671 is 1

Given Input Data is 413, 916, 48, 671

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 671 is 11 x 61

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, 916) = 378308

GCD(413, 916) = ( 413 x 916 ) / 378308

GCD(413, 916) = 378308 / 378308

GCD(413, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 413, 916, 48, 671 is 1

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1. What is the GCD of 413, 916, 48, 671?

GCD of 413, 916, 48, 671 is 1

2. Where do I get the detailed procedure to find GCD of 413, 916, 48, 671?

You can find a detailed procedure to find GCD of 413, 916, 48, 671 on our page.

3. How to find GCD of 413, 916, 48, 671 on a calculator?

You can find the GCD of 413, 916, 48, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.