GCD of 33, 991, 114, 731 Calculator

Given Input numbers are 33, 991, 114, 731

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 114

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

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 33, 991, 114, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 991, 114, 731 is 1.

Therefore, GCD of numbers 33, 991, 114, 731 is 1

Given Input Data is 33, 991, 114, 731

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 991 is 991

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 731 is 17 x 43

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, 991) = 32703

GCD(33, 991) = ( 33 x 991 ) / 32703

GCD(33, 991) = 32703 / 32703

GCD(33, 991) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 33, 991, 114, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 179, 500, 588
• GCD of 54, 859, 573, 495
• GCD of 40, 950, 506, 102
• GCD of 36, 804, 897, 644
• GCD of 75, 839, 343, 999

1. What is the GCD of 33, 991, 114, 731?

GCD of 33, 991, 114, 731 is 1

2. Where do I get the detailed procedure to find GCD of 33, 991, 114, 731?

You can find a detailed procedure to find GCD of 33, 991, 114, 731 on our page.

3. How to find GCD of 33, 991, 114, 731 on a calculator?

You can find the GCD of 33, 991, 114, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.