GCD of 629, 960, 25, 923 Calculator

Given Input numbers are 629, 960, 25, 923

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 629, 960, 25, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 960, 25, 923 is 1.

Therefore, GCD of numbers 629, 960, 25, 923 is 1

Given Input Data is 629, 960, 25, 923

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 25 is 5 x 5

Prime Factorization of 923 is 13 x 71

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(629, 960) = 603840

GCD(629, 960) = ( 629 x 960 ) / 603840

GCD(629, 960) = 603840 / 603840

GCD(629, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 629, 960, 25, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 803, 27, 619
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• GCD of 123, 127, 27, 263

1. What is the GCD of 629, 960, 25, 923?

GCD of 629, 960, 25, 923 is 1

2. Where do I get the detailed procedure to find GCD of 629, 960, 25, 923?

You can find a detailed procedure to find GCD of 629, 960, 25, 923 on our page.

3. How to find GCD of 629, 960, 25, 923 on a calculator?

You can find the GCD of 629, 960, 25, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.