GCD of 420, 812, 462, 455 Calculator

Given Input numbers are 420, 812, 462, 455

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 420, 812, 462, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 812, 462, 455 is 7.

Therefore, GCD of numbers 420, 812, 462, 455 is 7

Given Input Data is 420, 812, 462, 455

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 812 is 2 x 2 x 7 x 29

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 455 is 5 x 7 x 13

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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, 812) = 12180

GCD(420, 812) = ( 420 x 812 ) / 12180

GCD(420, 812) = 341040 / 12180

GCD(420, 812) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 462

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

LCM(28, 462) = 924

GCD(28, 462) = ( 28 x 462 ) / 924

GCD(28, 462) = 12936 / 924

GCD(28, 462) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 455

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

LCM(14, 455) = 910

GCD(14, 455) = ( 14 x 455 ) / 910

GCD(14, 455) = 6370 / 910

GCD(14, 455) = 7

GCD of 420, 812, 462, 455 is 7

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• GCD of 651, 407, 718, 241
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1. What is the GCD of 420, 812, 462, 455?

GCD of 420, 812, 462, 455 is 7

2. Where do I get the detailed procedure to find GCD of 420, 812, 462, 455?

You can find a detailed procedure to find GCD of 420, 812, 462, 455 on our page.

3. How to find GCD of 420, 812, 462, 455 on a calculator?

You can find the GCD of 420, 812, 462, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.