GCD of 928, 345, 638, 618 Calculator

Given Input numbers are 928, 345, 638, 618

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 928, 345, 638, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 345, 638, 618 is 1.

Therefore, GCD of numbers 928, 345, 638, 618 is 1

Given Input Data is 928, 345, 638, 618

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 618 is 2 x 3 x 103

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(928, 345) = 320160

GCD(928, 345) = ( 928 x 345 ) / 320160

GCD(928, 345) = 320160 / 320160

GCD(928, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 928, 345, 638, 618 is 1

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1. What is the GCD of 928, 345, 638, 618?

GCD of 928, 345, 638, 618 is 1

2. Where do I get the detailed procedure to find GCD of 928, 345, 638, 618?

You can find a detailed procedure to find GCD of 928, 345, 638, 618 on our page.

3. How to find GCD of 928, 345, 638, 618 on a calculator?

You can find the GCD of 928, 345, 638, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.