GCD of 512, 340, 266, 357 Calculator

Given Input numbers are 512, 340, 266, 357

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 512, 340, 266, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 340, 266, 357 is 1.

Therefore, GCD of numbers 512, 340, 266, 357 is 1

Given Input Data is 512, 340, 266, 357

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 340 is 2 x 2 x 5 x 17

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 357 is 3 x 7 x 17

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, 340) = 43520

GCD(512, 340) = ( 512 x 340 ) / 43520

GCD(512, 340) = 174080 / 43520

GCD(512, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 266

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

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

GCD(4, 266) = 1064 / 532

GCD(4, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

GCD of 512, 340, 266, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 562, 576, 864
• GCD of 567, 621, 217, 450
• GCD of 644, 471, 862, 697
• GCD of 664, 706, 220, 212
• GCD of 433, 846, 120, 932

1. What is the GCD of 512, 340, 266, 357?

GCD of 512, 340, 266, 357 is 1

2. Where do I get the detailed procedure to find GCD of 512, 340, 266, 357?

You can find a detailed procedure to find GCD of 512, 340, 266, 357 on our page.

3. How to find GCD of 512, 340, 266, 357 on a calculator?

You can find the GCD of 512, 340, 266, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.