GCD of 507, 429, 315, 348 Calculator

Given Input numbers are 507, 429, 315, 348

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 507, 429, 315, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 429, 315, 348 is 3.

Therefore, GCD of numbers 507, 429, 315, 348 is 3

Given Input Data is 507, 429, 315, 348

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 429 is 3 x 11 x 13

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 429) = 5577

GCD(507, 429) = ( 507 x 429 ) / 5577

GCD(507, 429) = 217503 / 5577

GCD(507, 429) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 315

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

LCM(39, 315) = 4095

GCD(39, 315) = ( 39 x 315 ) / 4095

GCD(39, 315) = 12285 / 4095

GCD(39, 315) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 348

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

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

GCD(3, 348) = 1044 / 348

GCD(3, 348) = 3

GCD of 507, 429, 315, 348 is 3

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• GCD of 278, 549, 397, 914
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• GCD of 914, 336, 891, 294

1. What is the GCD of 507, 429, 315, 348?

GCD of 507, 429, 315, 348 is 3

2. Where do I get the detailed procedure to find GCD of 507, 429, 315, 348?

You can find a detailed procedure to find GCD of 507, 429, 315, 348 on our page.

3. How to find GCD of 507, 429, 315, 348 on a calculator?

You can find the GCD of 507, 429, 315, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.