GCD of 512, 209, 75, 148 Calculator

Given Input numbers are 512, 209, 75, 148

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 512, 209, 75, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 209, 75, 148 is 1.

Therefore, GCD of numbers 512, 209, 75, 148 is 1

Given Input Data is 512, 209, 75, 148

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 209 is 11 x 19

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 148 is 2 x 2 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(512, 209) = 107008

GCD(512, 209) = ( 512 x 209 ) / 107008

GCD(512, 209) = 107008 / 107008

GCD(512, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 512, 209, 75, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 412, 26, 201
• GCD of 270, 577, 98, 970
• GCD of 586, 878, 74, 687
• GCD of 731, 312, 35, 607
• GCD of 354, 995, 39, 286

1. What is the GCD of 512, 209, 75, 148?

GCD of 512, 209, 75, 148 is 1

2. Where do I get the detailed procedure to find GCD of 512, 209, 75, 148?

You can find a detailed procedure to find GCD of 512, 209, 75, 148 on our page.

3. How to find GCD of 512, 209, 75, 148 on a calculator?

You can find the GCD of 512, 209, 75, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.