GCD of 632, 290, 40, 309 Calculator

Given Input numbers are 632, 290, 40, 309

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 632, 290, 40, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 290, 40, 309 is 1.

Therefore, GCD of numbers 632, 290, 40, 309 is 1

Given Input Data is 632, 290, 40, 309

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 309 is 3 x 103

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(632, 290) = 91640

GCD(632, 290) = ( 632 x 290 ) / 91640

GCD(632, 290) = 183280 / 91640

GCD(632, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 632, 290, 40, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 452, 88, 966
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• GCD of 903, 620, 87, 151

1. What is the GCD of 632, 290, 40, 309?

GCD of 632, 290, 40, 309 is 1

2. Where do I get the detailed procedure to find GCD of 632, 290, 40, 309?

You can find a detailed procedure to find GCD of 632, 290, 40, 309 on our page.

3. How to find GCD of 632, 290, 40, 309 on a calculator?

You can find the GCD of 632, 290, 40, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.