GCD of 420, 264, 648 Calculator

Given Input numbers are 420, 264, 648

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 420, 264, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 264, 648 is 12.

Therefore, GCD of numbers 420, 264, 648 is 12

Given Input Data is 420, 264, 648

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 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 2² x 3¹

Multiplying them we get the GCD as 12

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(420, 264) = 9240

GCD(420, 264) = ( 420 x 264 ) / 9240

GCD(420, 264) = 110880 / 9240

GCD(420, 264) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 648

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

LCM(12, 648) = 648

GCD(12, 648) = ( 12 x 648 ) / 648

GCD(12, 648) = 7776 / 648

GCD(12, 648) = 12

GCD of 420, 264, 648 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 859, 102
• GCD of 714, 333, 838
• GCD of 954, 353, 387
• GCD of 377, 848, 582
• GCD of 838, 567, 528

1. What is the GCD of 420, 264, 648?

GCD of 420, 264, 648 is 12

2. Where do I get the detailed procedure to find GCD of 420, 264, 648?

You can find a detailed procedure to find GCD of 420, 264, 648 on our page.

3. How to find GCD of 420, 264, 648 on a calculator?

You can find the GCD of 420, 264, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.