GCD of 299, 690, 82, 352 Calculator

Given Input numbers are 299, 690, 82, 352

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 299, 690, 82, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 690, 82, 352 is 1.

Therefore, GCD of numbers 299, 690, 82, 352 is 1

Given Input Data is 299, 690, 82, 352

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 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(299, 690) = 8970

GCD(299, 690) = ( 299 x 690 ) / 8970

GCD(299, 690) = 206310 / 8970

GCD(299, 690) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 82

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

LCM(23, 82) = 1886

GCD(23, 82) = ( 23 x 82 ) / 1886

GCD(23, 82) = 1886 / 1886

GCD(23, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 299, 690, 82, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 115, 69, 557
• GCD of 953, 124, 83, 234
• GCD of 318, 326, 54, 537
• GCD of 837, 266, 20, 529
• GCD of 345, 130, 69, 944

1. What is the GCD of 299, 690, 82, 352?

GCD of 299, 690, 82, 352 is 1

2. Where do I get the detailed procedure to find GCD of 299, 690, 82, 352?

You can find a detailed procedure to find GCD of 299, 690, 82, 352 on our page.

3. How to find GCD of 299, 690, 82, 352 on a calculator?

You can find the GCD of 299, 690, 82, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.