GCD of 634, 512, 981, 338 Calculator

Given Input numbers are 634, 512, 981, 338

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 634, 512, 981, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 512, 981, 338 is 1.

Therefore, GCD of numbers 634, 512, 981, 338 is 1

Given Input Data is 634, 512, 981, 338

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

Prime Factorization of 634 is 2 x 317

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 981 is 3 x 3 x 109

Prime Factorization of 338 is 2 x 13 x 13

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(634, 512) = 162304

GCD(634, 512) = ( 634 x 512 ) / 162304

GCD(634, 512) = 324608 / 162304

GCD(634, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 981

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

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

GCD(2, 981) = 1962 / 1962

GCD(2, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 634, 512, 981, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 174, 119, 626
• GCD of 336, 749, 263, 399
• GCD of 384, 118, 276, 836
• GCD of 362, 819, 530, 459
• GCD of 388, 539, 523, 973

1. What is the GCD of 634, 512, 981, 338?

GCD of 634, 512, 981, 338 is 1

2. Where do I get the detailed procedure to find GCD of 634, 512, 981, 338?

You can find a detailed procedure to find GCD of 634, 512, 981, 338 on our page.

3. How to find GCD of 634, 512, 981, 338 on a calculator?

You can find the GCD of 634, 512, 981, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.