GCD of 29, 905, 945, 963 Calculator

Given Input numbers are 29, 905, 945, 963

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 29, 905, 945, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 905, 945, 963 is 1.

Therefore, GCD of numbers 29, 905, 945, 963 is 1

Given Input Data is 29, 905, 945, 963

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

Prime Factorization of 29 is 29

Prime Factorization of 905 is 5 x 181

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

Prime Factorization of 963 is 3 x 3 x 107

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(29, 905) = 26245

GCD(29, 905) = ( 29 x 905 ) / 26245

GCD(29, 905) = 26245 / 26245

GCD(29, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 29, 905, 945, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 422, 272, 871
• GCD of 50, 742, 654, 435
• GCD of 62, 232, 426, 893
• GCD of 59, 468, 963, 463
• GCD of 64, 502, 839, 884

1. What is the GCD of 29, 905, 945, 963?

GCD of 29, 905, 945, 963 is 1

2. Where do I get the detailed procedure to find GCD of 29, 905, 945, 963?

You can find a detailed procedure to find GCD of 29, 905, 945, 963 on our page.

3. How to find GCD of 29, 905, 945, 963 on a calculator?

You can find the GCD of 29, 905, 945, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.