GCD of 508, 675, 416, 407 Calculator

Given Input numbers are 508, 675, 416, 407

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 508, 675, 416, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 675, 416, 407 is 1.

Therefore, GCD of numbers 508, 675, 416, 407 is 1

Given Input Data is 508, 675, 416, 407

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 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 407 is 11 x 37

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, 675) = 342900

GCD(508, 675) = ( 508 x 675 ) / 342900

GCD(508, 675) = 342900 / 342900

GCD(508, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 508, 675, 416, 407 is 1

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1. What is the GCD of 508, 675, 416, 407?

GCD of 508, 675, 416, 407 is 1

2. Where do I get the detailed procedure to find GCD of 508, 675, 416, 407?

You can find a detailed procedure to find GCD of 508, 675, 416, 407 on our page.

3. How to find GCD of 508, 675, 416, 407 on a calculator?

You can find the GCD of 508, 675, 416, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.