GCD of 945, 768, 903, 430 Calculator

Given Input numbers are 945, 768, 903, 430

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 945, 768, 903, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 768, 903, 430 is 1.

Therefore, GCD of numbers 945, 768, 903, 430 is 1

Given Input Data is 945, 768, 903, 430

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 430 is 2 x 5 x 43

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(945, 768) = 241920

GCD(945, 768) = ( 945 x 768 ) / 241920

GCD(945, 768) = 725760 / 241920

GCD(945, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 903

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

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

GCD(3, 903) = 2709 / 903

GCD(3, 903) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 430

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

LCM(3, 430) = 1290

GCD(3, 430) = ( 3 x 430 ) / 1290

GCD(3, 430) = 1290 / 1290

GCD(3, 430) = 1

GCD of 945, 768, 903, 430 is 1

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1. What is the GCD of 945, 768, 903, 430?

GCD of 945, 768, 903, 430 is 1

2. Where do I get the detailed procedure to find GCD of 945, 768, 903, 430?

You can find a detailed procedure to find GCD of 945, 768, 903, 430 on our page.

3. How to find GCD of 945, 768, 903, 430 on a calculator?

You can find the GCD of 945, 768, 903, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.