GCD of 507, 804, 411, 462 Calculator

Given Input numbers are 507, 804, 411, 462

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

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

Greatest Common Divisior

We found the divisors of 507, 804, 411, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 804, 411, 462 is 3.

Therefore, GCD of numbers 507, 804, 411, 462 is 3

Given Input Data is 507, 804, 411, 462

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 411 is 3 x 137

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

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(507, 804) = 135876

GCD(507, 804) = ( 507 x 804 ) / 135876

GCD(507, 804) = 407628 / 135876

GCD(507, 804) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 411

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

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

GCD(3, 411) = 1233 / 411

GCD(3, 411) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

GCD of 507, 804, 411, 462 is 3

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1. What is the GCD of 507, 804, 411, 462?

GCD of 507, 804, 411, 462 is 3

2. Where do I get the detailed procedure to find GCD of 507, 804, 411, 462?

You can find a detailed procedure to find GCD of 507, 804, 411, 462 on our page.

3. How to find GCD of 507, 804, 411, 462 on a calculator?

You can find the GCD of 507, 804, 411, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.