GCD of 428, 699, 46, 318 Calculator

Given Input numbers are 428, 699, 46, 318

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 318

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

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

Greatest Common Divisior

We found the divisors of 428, 699, 46, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 699, 46, 318 is 1.

Therefore, GCD of numbers 428, 699, 46, 318 is 1

Given Input Data is 428, 699, 46, 318

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 699 is 3 x 233

Prime Factorization of 46 is 2 x 23

Prime Factorization of 318 is 2 x 3 x 53

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(428, 699) = 299172

GCD(428, 699) = ( 428 x 699 ) / 299172

GCD(428, 699) = 299172 / 299172

GCD(428, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 428, 699, 46, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 873, 30, 180
• GCD of 910, 968, 94, 243
• GCD of 338, 537, 27, 888
• GCD of 516, 160, 27, 926
• GCD of 491, 513, 31, 879

1. What is the GCD of 428, 699, 46, 318?

GCD of 428, 699, 46, 318 is 1

2. Where do I get the detailed procedure to find GCD of 428, 699, 46, 318?

You can find a detailed procedure to find GCD of 428, 699, 46, 318 on our page.

3. How to find GCD of 428, 699, 46, 318 on a calculator?

You can find the GCD of 428, 699, 46, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.