GCD of 508, 240, 358, 411 Calculator

Given Input numbers are 508, 240, 358, 411

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 411

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

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 508, 240, 358, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 240, 358, 411 is 1.

Therefore, GCD of numbers 508, 240, 358, 411 is 1

Given Input Data is 508, 240, 358, 411

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 358 is 2 x 179

Prime Factorization of 411 is 3 x 137

The above numbers do not have any common prime factor. So GCD is 1

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(508, 240) = 30480

GCD(508, 240) = ( 508 x 240 ) / 30480

GCD(508, 240) = 121920 / 30480

GCD(508, 240) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 358

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

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

GCD(4, 358) = 1432 / 716

GCD(4, 358) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 411

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

LCM(2, 411) = 822

GCD(2, 411) = ( 2 x 411 ) / 822

GCD(2, 411) = 822 / 822

GCD(2, 411) = 1

GCD of 508, 240, 358, 411 is 1

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1. What is the GCD of 508, 240, 358, 411?

GCD of 508, 240, 358, 411 is 1

2. Where do I get the detailed procedure to find GCD of 508, 240, 358, 411?

You can find a detailed procedure to find GCD of 508, 240, 358, 411 on our page.

3. How to find GCD of 508, 240, 358, 411 on a calculator?

You can find the GCD of 508, 240, 358, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.