GCD of 231, 969, 960, 909 Calculator

Given Input numbers are 231, 969, 960, 909

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 231, 969, 960, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 969, 960, 909 is 3.

Therefore, GCD of numbers 231, 969, 960, 909 is 3

Given Input Data is 231, 969, 960, 909

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 969 is 3 x 17 x 19

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

Prime Factorization of 909 is 3 x 3 x 101

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(231, 969) = 74613

GCD(231, 969) = ( 231 x 969 ) / 74613

GCD(231, 969) = 223839 / 74613

GCD(231, 969) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 909

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

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

GCD(3, 909) = 2727 / 909

GCD(3, 909) = 3

GCD of 231, 969, 960, 909 is 3

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1. What is the GCD of 231, 969, 960, 909?

GCD of 231, 969, 960, 909 is 3

2. Where do I get the detailed procedure to find GCD of 231, 969, 960, 909?

You can find a detailed procedure to find GCD of 231, 969, 960, 909 on our page.

3. How to find GCD of 231, 969, 960, 909 on a calculator?

You can find the GCD of 231, 969, 960, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.