GCD of 420, 426, 324 Calculator

Given Input numbers are 420, 426, 324

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 420, 426, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 426, 324 is 6.

Therefore, GCD of numbers 420, 426, 324 is 6

Given Input Data is 420, 426, 324

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 426 is 2 x 3 x 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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, 426) = 29820

GCD(420, 426) = ( 420 x 426 ) / 29820

GCD(420, 426) = 178920 / 29820

GCD(420, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 324

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

LCM(6, 324) = 324

GCD(6, 324) = ( 6 x 324 ) / 324

GCD(6, 324) = 1944 / 324

GCD(6, 324) = 6

GCD of 420, 426, 324 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 244, 992
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• GCD of 906, 837, 920
• GCD of 242, 677, 215
• GCD of 649, 424, 475

1. What is the GCD of 420, 426, 324?

GCD of 420, 426, 324 is 6

2. Where do I get the detailed procedure to find GCD of 420, 426, 324?

You can find a detailed procedure to find GCD of 420, 426, 324 on our page.

3. How to find GCD of 420, 426, 324 on a calculator?

You can find the GCD of 420, 426, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.