GCD of 720, 564, 184 Calculator

Given Input numbers are 720, 564, 184

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 720, 564, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 564, 184 is 4.

Therefore, GCD of numbers 720, 564, 184 is 4

Given Input Data is 720, 564, 184

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(720, 564) = 33840

GCD(720, 564) = ( 720 x 564 ) / 33840

GCD(720, 564) = 406080 / 33840

GCD(720, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 184

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

LCM(12, 184) = 552

GCD(12, 184) = ( 12 x 184 ) / 552

GCD(12, 184) = 2208 / 552

GCD(12, 184) = 4

GCD of 720, 564, 184 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 797, 985
• GCD of 775, 404, 247
• GCD of 301, 938, 366
• GCD of 970, 208, 184
• GCD of 841, 111, 956

1. What is the GCD of 720, 564, 184?

GCD of 720, 564, 184 is 4

2. Where do I get the detailed procedure to find GCD of 720, 564, 184?

You can find a detailed procedure to find GCD of 720, 564, 184 on our page.

3. How to find GCD of 720, 564, 184 on a calculator?

You can find the GCD of 720, 564, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.