GCD of 640, 104, 49, 564 Calculator

Given Input numbers are 640, 104, 49, 564

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

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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

Greatest Common Divisior

We found the divisors of 640, 104, 49, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 104, 49, 564 is 1.

Therefore, GCD of numbers 640, 104, 49, 564 is 1

Given Input Data is 640, 104, 49, 564

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

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 49 is 7 x 7

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

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(640, 104) = 8320

GCD(640, 104) = ( 640 x 104 ) / 8320

GCD(640, 104) = 66560 / 8320

GCD(640, 104) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 49

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

LCM(8, 49) = 392

GCD(8, 49) = ( 8 x 49 ) / 392

GCD(8, 49) = 392 / 392

GCD(8, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 640, 104, 49, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 382, 23, 678
• GCD of 457, 341, 90, 674
• GCD of 653, 595, 45, 310
• GCD of 691, 635, 40, 597
• GCD of 612, 378, 69, 537

1. What is the GCD of 640, 104, 49, 564?

GCD of 640, 104, 49, 564 is 1

2. Where do I get the detailed procedure to find GCD of 640, 104, 49, 564?

You can find a detailed procedure to find GCD of 640, 104, 49, 564 on our page.

3. How to find GCD of 640, 104, 49, 564 on a calculator?

You can find the GCD of 640, 104, 49, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.