GCD of 748, 966, 365, 629 Calculator

Given Input numbers are 748, 966, 365, 629

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 629

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

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 748, 966, 365, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 966, 365, 629 is 1.

Therefore, GCD of numbers 748, 966, 365, 629 is 1

Given Input Data is 748, 966, 365, 629

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 365 is 5 x 73

Prime Factorization of 629 is 17 x 37

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(748, 966) = 361284

GCD(748, 966) = ( 748 x 966 ) / 361284

GCD(748, 966) = 722568 / 361284

GCD(748, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 748, 966, 365, 629 is 1

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1. What is the GCD of 748, 966, 365, 629?

GCD of 748, 966, 365, 629 is 1

2. Where do I get the detailed procedure to find GCD of 748, 966, 365, 629?

You can find a detailed procedure to find GCD of 748, 966, 365, 629 on our page.

3. How to find GCD of 748, 966, 365, 629 on a calculator?

You can find the GCD of 748, 966, 365, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.