GCD of 512, 917, 38, 107 Calculator

Given Input numbers are 512, 917, 38, 107

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 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 512, 917, 38, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 917, 38, 107 is 1.

Therefore, GCD of numbers 512, 917, 38, 107 is 1

Given Input Data is 512, 917, 38, 107

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 917 is 7 x 131

Prime Factorization of 38 is 2 x 19

Prime Factorization of 107 is 107

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, 917) = 469504

GCD(512, 917) = ( 512 x 917 ) / 469504

GCD(512, 917) = 469504 / 469504

GCD(512, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 512, 917, 38, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 664, 31, 825
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• GCD of 337, 846, 84, 570
• GCD of 248, 929, 31, 440
• GCD of 641, 317, 60, 593

1. What is the GCD of 512, 917, 38, 107?

GCD of 512, 917, 38, 107 is 1

2. Where do I get the detailed procedure to find GCD of 512, 917, 38, 107?

You can find a detailed procedure to find GCD of 512, 917, 38, 107 on our page.

3. How to find GCD of 512, 917, 38, 107 on a calculator?

You can find the GCD of 512, 917, 38, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.