GCD of 945, 824, 27, 908 Calculator

Given Input numbers are 945, 824, 27, 908

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 945, 824, 27, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 824, 27, 908 is 1.

Therefore, GCD of numbers 945, 824, 27, 908 is 1

Given Input Data is 945, 824, 27, 908

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 908 is 2 x 2 x 227

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, 824) = 778680

GCD(945, 824) = ( 945 x 824 ) / 778680

GCD(945, 824) = 778680 / 778680

GCD(945, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 945, 824, 27, 908 is 1

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1. What is the GCD of 945, 824, 27, 908?

GCD of 945, 824, 27, 908 is 1

2. Where do I get the detailed procedure to find GCD of 945, 824, 27, 908?

You can find a detailed procedure to find GCD of 945, 824, 27, 908 on our page.

3. How to find GCD of 945, 824, 27, 908 on a calculator?

You can find the GCD of 945, 824, 27, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.