GCD of 33, 77, 68, 31 Calculator

Given Input numbers are 33, 77, 68, 31

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 33, 77, 68, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 77, 68, 31 is 1.

Therefore, GCD of numbers 33, 77, 68, 31 is 1

Given Input Data is 33, 77, 68, 31

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 31 is 31

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, 77) = 231

GCD(33, 77) = ( 33 x 77 ) / 231

GCD(33, 77) = 2541 / 231

GCD(33, 77) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 68

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

LCM(11, 68) = 748

GCD(11, 68) = ( 11 x 68 ) / 748

GCD(11, 68) = 748 / 748

GCD(11, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 33, 77, 68, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 47, 32, 69
• GCD of 77, 71, 40, 53
• GCD of 54, 83, 90, 58
• GCD of 82, 92, 88, 61
• GCD of 33, 32, 86, 61

1. What is the GCD of 33, 77, 68, 31?

GCD of 33, 77, 68, 31 is 1

2. Where do I get the detailed procedure to find GCD of 33, 77, 68, 31?

You can find a detailed procedure to find GCD of 33, 77, 68, 31 on our page.

3. How to find GCD of 33, 77, 68, 31 on a calculator?

You can find the GCD of 33, 77, 68, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.