GCD of 308, 634, 512, 364 Calculator

Given Input numbers are 308, 634, 512, 364

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 308, 634, 512, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 634, 512, 364 is 2.

Therefore, GCD of numbers 308, 634, 512, 364 is 2

Given Input Data is 308, 634, 512, 364

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

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 364 is 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(308, 634) = 97636

GCD(308, 634) = ( 308 x 634 ) / 97636

GCD(308, 634) = 195272 / 97636

GCD(308, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 308, 634, 512, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 766, 952, 449
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• GCD of 751, 760, 335, 690
• GCD of 345, 867, 798, 808
• GCD of 835, 508, 703, 126

1. What is the GCD of 308, 634, 512, 364?

GCD of 308, 634, 512, 364 is 2

2. Where do I get the detailed procedure to find GCD of 308, 634, 512, 364?

You can find a detailed procedure to find GCD of 308, 634, 512, 364 on our page.

3. How to find GCD of 308, 634, 512, 364 on a calculator?

You can find the GCD of 308, 634, 512, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.