GCD of 287, 969, 30, 744 Calculator

Given Input numbers are 287, 969, 30, 744

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 287, 969, 30, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 969, 30, 744 is 1.

Therefore, GCD of numbers 287, 969, 30, 744 is 1

Given Input Data is 287, 969, 30, 744

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(287, 969) = 278103

GCD(287, 969) = ( 287 x 969 ) / 278103

GCD(287, 969) = 278103 / 278103

GCD(287, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 287, 969, 30, 744 is 1

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1. What is the GCD of 287, 969, 30, 744?

GCD of 287, 969, 30, 744 is 1

2. Where do I get the detailed procedure to find GCD of 287, 969, 30, 744?

You can find a detailed procedure to find GCD of 287, 969, 30, 744 on our page.

3. How to find GCD of 287, 969, 30, 744 on a calculator?

You can find the GCD of 287, 969, 30, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.