GCD of 240, 969, 663 Calculator

Given Input numbers are 240, 969, 663

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 240, 969, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 969, 663 is 3.

Therefore, GCD of numbers 240, 969, 663 is 3

Given Input Data is 240, 969, 663

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 663 is 3 x 13 x 17

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(240, 969) = 77520

GCD(240, 969) = ( 240 x 969 ) / 77520

GCD(240, 969) = 232560 / 77520

GCD(240, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 663

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

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

GCD(3, 663) = 1989 / 663

GCD(3, 663) = 3

GCD of 240, 969, 663 is 3

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1. What is the GCD of 240, 969, 663?

GCD of 240, 969, 663 is 3

2. Where do I get the detailed procedure to find GCD of 240, 969, 663?

You can find a detailed procedure to find GCD of 240, 969, 663 on our page.

3. How to find GCD of 240, 969, 663 on a calculator?

You can find the GCD of 240, 969, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.