GCD of 117, 519, 66, 462 Calculator

Given Input numbers are 117, 519, 66, 462

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 117, 519, 66, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 519, 66, 462 is 3.

Therefore, GCD of numbers 117, 519, 66, 462 is 3

Given Input Data is 117, 519, 66, 462

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 519 is 3 x 173

Prime Factorization of 66 is 2 x 3 x 11

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(117, 519) = 20241

GCD(117, 519) = ( 117 x 519 ) / 20241

GCD(117, 519) = 60723 / 20241

GCD(117, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 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 117, 519, 66, 462 is 3

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• GCD of 209, 723, 84, 363
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1. What is the GCD of 117, 519, 66, 462?

GCD of 117, 519, 66, 462 is 3

2. Where do I get the detailed procedure to find GCD of 117, 519, 66, 462?

You can find a detailed procedure to find GCD of 117, 519, 66, 462 on our page.

3. How to find GCD of 117, 519, 66, 462 on a calculator?

You can find the GCD of 117, 519, 66, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.