GCD of 646, 768, 58, 373 Calculator

Given Input numbers are 646, 768, 58, 373

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Greatest Common Divisior

We found the divisors of 646, 768, 58, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 768, 58, 373 is 1.

Therefore, GCD of numbers 646, 768, 58, 373 is 1

Given Input Data is 646, 768, 58, 373

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 373 is 373

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(646, 768) = 248064

GCD(646, 768) = ( 646 x 768 ) / 248064

GCD(646, 768) = 496128 / 248064

GCD(646, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 373

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

LCM(2, 373) = 746

GCD(2, 373) = ( 2 x 373 ) / 746

GCD(2, 373) = 746 / 746

GCD(2, 373) = 1

GCD of 646, 768, 58, 373 is 1

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1. What is the GCD of 646, 768, 58, 373?

GCD of 646, 768, 58, 373 is 1

2. Where do I get the detailed procedure to find GCD of 646, 768, 58, 373?

You can find a detailed procedure to find GCD of 646, 768, 58, 373 on our page.

3. How to find GCD of 646, 768, 58, 373 on a calculator?

You can find the GCD of 646, 768, 58, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.