GCD of 237, 510, 408 Calculator

Given Input numbers are 237, 510, 408

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 237, 510, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 510, 408 is 3.

Therefore, GCD of numbers 237, 510, 408 is 3

Given Input Data is 237, 510, 408

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(237, 510) = 40290

GCD(237, 510) = ( 237 x 510 ) / 40290

GCD(237, 510) = 120870 / 40290

GCD(237, 510) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

GCD of 237, 510, 408 is 3

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• GCD of 509, 151, 243
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1. What is the GCD of 237, 510, 408?

GCD of 237, 510, 408 is 3

2. Where do I get the detailed procedure to find GCD of 237, 510, 408?

You can find a detailed procedure to find GCD of 237, 510, 408 on our page.

3. How to find GCD of 237, 510, 408 on a calculator?

You can find the GCD of 237, 510, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.