GCD of 69, 570, 660, 648 Calculator

Given Input numbers are 69, 570, 660, 648

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 69, 570, 660, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 570, 660, 648 is 3.

Therefore, GCD of numbers 69, 570, 660, 648 is 3

Given Input Data is 69, 570, 660, 648

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(69, 570) = 13110

GCD(69, 570) = ( 69 x 570 ) / 13110

GCD(69, 570) = 39330 / 13110

GCD(69, 570) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 660

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

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

GCD(3, 660) = 1980 / 660

GCD(3, 660) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 648

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

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

GCD(3, 648) = 1944 / 648

GCD(3, 648) = 3

GCD of 69, 570, 660, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 333, 617, 940
• GCD of 66, 529, 247, 128
• GCD of 23, 565, 313, 263
• GCD of 39, 626, 191, 923
• GCD of 24, 784, 528, 353

1. What is the GCD of 69, 570, 660, 648?

GCD of 69, 570, 660, 648 is 3

2. Where do I get the detailed procedure to find GCD of 69, 570, 660, 648?

You can find a detailed procedure to find GCD of 69, 570, 660, 648 on our page.

3. How to find GCD of 69, 570, 660, 648 on a calculator?

You can find the GCD of 69, 570, 660, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.