GCD of 692, 344, 26, 512 Calculator

Given Input numbers are 692, 344, 26, 512

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 692, 344, 26, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 344, 26, 512 is 2.

Therefore, GCD of numbers 692, 344, 26, 512 is 2

Given Input Data is 692, 344, 26, 512

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 26 is 2 x 13

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

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(692, 344) = 59512

GCD(692, 344) = ( 692 x 344 ) / 59512

GCD(692, 344) = 238048 / 59512

GCD(692, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

Step3:

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

GCD of 692, 344, 26, 512 is 2

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1. What is the GCD of 692, 344, 26, 512?

GCD of 692, 344, 26, 512 is 2

2. Where do I get the detailed procedure to find GCD of 692, 344, 26, 512?

You can find a detailed procedure to find GCD of 692, 344, 26, 512 on our page.

3. How to find GCD of 692, 344, 26, 512 on a calculator?

You can find the GCD of 692, 344, 26, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.