GCD of 564, 640, 68, 928 Calculator

Given Input numbers are 564, 640, 68, 928

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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

Greatest Common Divisior

We found the divisors of 564, 640, 68, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 640, 68, 928 is 4.

Therefore, GCD of numbers 564, 640, 68, 928 is 4

Given Input Data is 564, 640, 68, 928

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 68 is 2 x 2 x 17

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(564, 640) = 90240

GCD(564, 640) = ( 564 x 640 ) / 90240

GCD(564, 640) = 360960 / 90240

GCD(564, 640) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 928

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

LCM(4, 928) = 928

GCD(4, 928) = ( 4 x 928 ) / 928

GCD(4, 928) = 3712 / 928

GCD(4, 928) = 4

GCD of 564, 640, 68, 928 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 520, 10, 395
• GCD of 439, 254, 98, 966
• GCD of 594, 300, 36, 980
• GCD of 706, 728, 44, 300
• GCD of 153, 518, 25, 941

1. What is the GCD of 564, 640, 68, 928?

GCD of 564, 640, 68, 928 is 4

2. Where do I get the detailed procedure to find GCD of 564, 640, 68, 928?

You can find a detailed procedure to find GCD of 564, 640, 68, 928 on our page.

3. How to find GCD of 564, 640, 68, 928 on a calculator?

You can find the GCD of 564, 640, 68, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.