GCD of 33, 77, 22 Calculator

Given Input numbers are 33, 77, 22

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 33, 77, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 77, 22 is 11.

Therefore, GCD of numbers 33, 77, 22 is 11

Given Input Data is 33, 77, 22

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 22 is 2 x 11

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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 22

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

LCM(11, 22) = 22

GCD(11, 22) = ( 11 x 22 ) / 22

GCD(11, 22) = 242 / 22

GCD(11, 22) = 11

GCD of 33, 77, 22 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 43, 63
• GCD of 57, 21, 73
• GCD of 45, 98, 16
• GCD of 92, 11, 11
• GCD of 70, 93, 46

1. What is the GCD of 33, 77, 22?

GCD of 33, 77, 22 is 11

2. Where do I get the detailed procedure to find GCD of 33, 77, 22?

You can find a detailed procedure to find GCD of 33, 77, 22 on our page.

3. How to find GCD of 33, 77, 22 on a calculator?

You can find the GCD of 33, 77, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.