GCD of 69, 6, 63, 33 Calculator

Given Input numbers are 69, 6, 63, 33

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 33

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

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 69, 6, 63, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 6, 63, 33 is 3.

Therefore, GCD of numbers 69, 6, 63, 33 is 3

Given Input Data is 69, 6, 63, 33

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 6 is 2 x 3

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 33 is 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(69, 6) = 138

GCD(69, 6) = ( 69 x 6 ) / 138

GCD(69, 6) = 414 / 138

GCD(69, 6) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

GCD of 69, 6, 63, 33 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 9, 80, 72
• GCD of 66, 3, 27, 19
• GCD of 51, 9, 23, 12
• GCD of 33, 8, 83, 40
• GCD of 94, 3, 90, 85

1. What is the GCD of 69, 6, 63, 33?

GCD of 69, 6, 63, 33 is 3

2. Where do I get the detailed procedure to find GCD of 69, 6, 63, 33?

You can find a detailed procedure to find GCD of 69, 6, 63, 33 on our page.

3. How to find GCD of 69, 6, 63, 33 on a calculator?

You can find the GCD of 69, 6, 63, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.