GCD of 564, 660, 12, 100 Calculator

Given Input numbers are 564, 660, 12, 100

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 564, 660, 12, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 660, 12, 100 is 4.

Therefore, GCD of numbers 564, 660, 12, 100 is 4

Given Input Data is 564, 660, 12, 100

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 660) = 31020

GCD(564, 660) = ( 564 x 660 ) / 31020

GCD(564, 660) = 372240 / 31020

GCD(564, 660) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 12

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

LCM(12, 12) = 12

GCD(12, 12) = ( 12 x 12 ) / 12

GCD(12, 12) = 144 / 12

GCD(12, 12) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 100

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

LCM(12, 100) = 300

GCD(12, 100) = ( 12 x 100 ) / 300

GCD(12, 100) = 1200 / 300

GCD(12, 100) = 4

GCD of 564, 660, 12, 100 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 653, 67, 817
• GCD of 580, 904, 99, 980
• GCD of 152, 784, 67, 667
• GCD of 501, 681, 37, 199
• GCD of 750, 787, 98, 544

1. What is the GCD of 564, 660, 12, 100?

GCD of 564, 660, 12, 100 is 4

2. Where do I get the detailed procedure to find GCD of 564, 660, 12, 100?

You can find a detailed procedure to find GCD of 564, 660, 12, 100 on our page.

3. How to find GCD of 564, 660, 12, 100 on a calculator?

You can find the GCD of 564, 660, 12, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.