GCD of 699, 288, 58, 275 Calculator

Given Input numbers are 699, 288, 58, 275

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

Divisors of 699

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

1, 3, 233, 699

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 699, 288, 58, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 288, 58, 275 is 1.

Therefore, GCD of numbers 699, 288, 58, 275 is 1

Given Input Data is 699, 288, 58, 275

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 275 is 5 x 5 x 11

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(699, 288) = 67104

GCD(699, 288) = ( 699 x 288 ) / 67104

GCD(699, 288) = 201312 / 67104

GCD(699, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 699, 288, 58, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 607, 68, 119
• GCD of 362, 231, 60, 539
• GCD of 412, 103, 58, 676
• GCD of 352, 183, 35, 376
• GCD of 102, 838, 90, 564

1. What is the GCD of 699, 288, 58, 275?

GCD of 699, 288, 58, 275 is 1

2. Where do I get the detailed procedure to find GCD of 699, 288, 58, 275?

You can find a detailed procedure to find GCD of 699, 288, 58, 275 on our page.

3. How to find GCD of 699, 288, 58, 275 on a calculator?

You can find the GCD of 699, 288, 58, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.