GCD of 299, 649, 39, 114 Calculator

Given Input numbers are 299, 649, 39, 114

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 299, 649, 39, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 649, 39, 114 is 1.

Therefore, GCD of numbers 299, 649, 39, 114 is 1

Given Input Data is 299, 649, 39, 114

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 649 is 11 x 59

Prime Factorization of 39 is 3 x 13

Prime Factorization of 114 is 2 x 3 x 19

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, 649) = 194051

GCD(299, 649) = ( 299 x 649 ) / 194051

GCD(299, 649) = 194051 / 194051

GCD(299, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 299, 649, 39, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 879, 67, 363
• GCD of 533, 269, 33, 772
• GCD of 843, 500, 31, 927
• GCD of 347, 717, 35, 378
• GCD of 136, 809, 43, 527

1. What is the GCD of 299, 649, 39, 114?

GCD of 299, 649, 39, 114 is 1

2. Where do I get the detailed procedure to find GCD of 299, 649, 39, 114?

You can find a detailed procedure to find GCD of 299, 649, 39, 114 on our page.

3. How to find GCD of 299, 649, 39, 114 on a calculator?

You can find the GCD of 299, 649, 39, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.