GCD of 33, 649, 935, 114 Calculator

Given Input numbers are 33, 649, 935, 114

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 649

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

1, 11, 59, 649

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

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 33, 649, 935, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 649, 935, 114 is 1.

Therefore, GCD of numbers 33, 649, 935, 114 is 1

Given Input Data is 33, 649, 935, 114

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 649 is 11 x 59

Prime Factorization of 935 is 5 x 11 x 17

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(33, 649) = 1947

GCD(33, 649) = ( 33 x 649 ) / 1947

GCD(33, 649) = 21417 / 1947

GCD(33, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 935

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

LCM(11, 935) = 935

GCD(11, 935) = ( 11 x 935 ) / 935

GCD(11, 935) = 10285 / 935

GCD(11, 935) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 114

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

LCM(11, 114) = 1254

GCD(11, 114) = ( 11 x 114 ) / 1254

GCD(11, 114) = 1254 / 1254

GCD(11, 114) = 1

GCD of 33, 649, 935, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 223, 270, 144
• GCD of 41, 612, 270, 837
• GCD of 55, 205, 946, 542
• GCD of 29, 241, 377, 439
• GCD of 33, 496, 862, 748

1. What is the GCD of 33, 649, 935, 114?

GCD of 33, 649, 935, 114 is 1

2. Where do I get the detailed procedure to find GCD of 33, 649, 935, 114?

You can find a detailed procedure to find GCD of 33, 649, 935, 114 on our page.

3. How to find GCD of 33, 649, 935, 114 on a calculator?

You can find the GCD of 33, 649, 935, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.