GCD of 318, 385, 35, 514 Calculator

Given Input numbers are 318, 385, 35, 514

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 318, 385, 35, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 385, 35, 514 is 1.

Therefore, GCD of numbers 318, 385, 35, 514 is 1

Given Input Data is 318, 385, 35, 514

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 35 is 5 x 7

Prime Factorization of 514 is 2 x 257

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(318, 385) = 122430

GCD(318, 385) = ( 318 x 385 ) / 122430

GCD(318, 385) = 122430 / 122430

GCD(318, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 318, 385, 35, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 509, 55, 835
• GCD of 377, 838, 99, 517
• GCD of 607, 736, 17, 123
• GCD of 764, 608, 39, 534
• GCD of 431, 448, 35, 357

1. What is the GCD of 318, 385, 35, 514?

GCD of 318, 385, 35, 514 is 1

2. Where do I get the detailed procedure to find GCD of 318, 385, 35, 514?

You can find a detailed procedure to find GCD of 318, 385, 35, 514 on our page.

3. How to find GCD of 318, 385, 35, 514 on a calculator?

You can find the GCD of 318, 385, 35, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.