GCD of 307, 512, 386, 697 Calculator

Given Input numbers are 307, 512, 386, 697

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 307, 512, 386, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 512, 386, 697 is 1.

Therefore, GCD of numbers 307, 512, 386, 697 is 1

Given Input Data is 307, 512, 386, 697

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

Prime Factorization of 307 is 307

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 386 is 2 x 193

Prime Factorization of 697 is 17 x 41

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(307, 512) = 157184

GCD(307, 512) = ( 307 x 512 ) / 157184

GCD(307, 512) = 157184 / 157184

GCD(307, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 307, 512, 386, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 103, 177, 155
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1. What is the GCD of 307, 512, 386, 697?

GCD of 307, 512, 386, 697 is 1

2. Where do I get the detailed procedure to find GCD of 307, 512, 386, 697?

You can find a detailed procedure to find GCD of 307, 512, 386, 697 on our page.

3. How to find GCD of 307, 512, 386, 697 on a calculator?

You can find the GCD of 307, 512, 386, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.