GCD of 33, 759, 207, 960 Calculator

Given Input numbers are 33, 759, 207, 960

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 33, 759, 207, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 759, 207, 960 is 3.

Therefore, GCD of numbers 33, 759, 207, 960 is 3

Given Input Data is 33, 759, 207, 960

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(33, 759) = 759

GCD(33, 759) = ( 33 x 759 ) / 759

GCD(33, 759) = 25047 / 759

GCD(33, 759) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 207

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

LCM(33, 207) = 2277

GCD(33, 207) = ( 33 x 207 ) / 2277

GCD(33, 207) = 6831 / 2277

GCD(33, 207) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 960

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

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

GCD(3, 960) = 2880 / 960

GCD(3, 960) = 3

GCD of 33, 759, 207, 960 is 3

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1. What is the GCD of 33, 759, 207, 960?

GCD of 33, 759, 207, 960 is 3

2. Where do I get the detailed procedure to find GCD of 33, 759, 207, 960?

You can find a detailed procedure to find GCD of 33, 759, 207, 960 on our page.

3. How to find GCD of 33, 759, 207, 960 on a calculator?

You can find the GCD of 33, 759, 207, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.