GCD of 645, 748, 966, 205 Calculator

Given Input numbers are 645, 748, 966, 205

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 645, 748, 966, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 748, 966, 205 is 1.

Therefore, GCD of numbers 645, 748, 966, 205 is 1

Given Input Data is 645, 748, 966, 205

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

Prime Factorization of 645 is 3 x 5 x 43

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 205 is 5 x 41

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(645, 748) = 482460

GCD(645, 748) = ( 645 x 748 ) / 482460

GCD(645, 748) = 482460 / 482460

GCD(645, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 645, 748, 966, 205 is 1

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1. What is the GCD of 645, 748, 966, 205?

GCD of 645, 748, 966, 205 is 1

2. Where do I get the detailed procedure to find GCD of 645, 748, 966, 205?

You can find a detailed procedure to find GCD of 645, 748, 966, 205 on our page.

3. How to find GCD of 645, 748, 966, 205 on a calculator?

You can find the GCD of 645, 748, 966, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.